Topic: distance list of topics
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	3.1 miles in 4 minutes		2021-06-21
		From Jean: I am a school bus driver. My route directions and time schedule have me traveling 3.1 miles in 4 minutes. How fast do "they" expect me to drive to accomplish this? Thank You Answered by Penny Nom.
	Time, distance and rate		2021-03-10
		From Zander: A lady drives 180km from her wine farm to Ceres. On her return (at night) she drove 30km/h slower. Her return takes one hour longer. At what speed did she drive home? Answered by Penny Nom.
	Bearing and distance		2021-02-22
		From bahlqees: A girl starts from a point X and walks 220m on a bearing 063°.she then walks to a point Y on a bearing 156°.if Y is due east of X,calculate|XY| solve and draw the diagram please Answered by Harley Weston.
	Running around a circular track		2020-10-31
		From kaylee: Keiko and Kendra are training for an international track competition. Kendra is running one lap on the outside of a circular track with a diameter of 1000 feet. Her constant rate of speed is 12 mi/h. Keiko is running one lap on the outside of a nearby circular track with a diameter of 1125 feet. She is also running at 12 mi/h. Find the time, in minutes, each runner needs to complete one lap. Answered by Harley Weston.
	A problem involving distance, time, and rate.		2020-09-15
		From Ruby: Amy drove on the highways at 70 miles/hour to pick up fruits from her grandma’s garden in the morning. She stayed there for two hours. When coming back in the afternoon, she drove on the local roads at 40 miles per hour to avoid traffic. She spent a total of 8 hours for this trip, and drove a total 300 miles. How many miles did she drive each way? Answered by Penny Nom.
	A word problem with no algebra		2020-08-11
		From Julie: At 3pm, Bruce headed north at 30 km/hr. 2 hours later, Lucy headed south at 40 km/hr. At what time will they be 340 km apart Answered by Penny Nom.
	Running in opposite directions around a circular track		2020-05-11
		From Alessandra: 2. Alan and Brian are two runners. Alan runs at 6.6 m/s and Brian runs at 8.4 m/s. They start from the same place on a circular 400 m track and run in opposite directions round and round the track. (a) How far has Brian run when they pass each other for the first time? (b) After they pass each other for the second time, how much further does Brian need to run in order to complete two laps (800 m)? Answered by Penny Nom.
	Sam and Claudia go on a bike hike		2020-03-03
		From Christie: Sam and Claudia start at the same time on a bike hike of 150 miles. Sam travels 3 miles per hour faster than Claudia and finishes the trip 8 1/3 hours before Claudia. At what rate in miles per hour does Sam travel? Answered by Penny Nom.
	Mandy walks to work		2019-09-15
		From Kenneth: Mandy walks to work at a constant rate. One-third of the way to work, she passes a bank. Three-fourths of the way to work, she passes a book store. At the bank her watch reads 7:52 A.M., and at the book store it reads 8:02 A.M. At what time is Mandy one-half of the way to work? Answered by Harley Weston.
	Distance traveled		2019-07-03
		From J: If a fly flies at 15 feet per a second between two walls closing in upon themselves. Wall A is moving to the right at 3 feet a second and wall B is moving to the left at 15 feet a minute, how far will the fly fly before the walls touch? Answered by Penny Nom.
	A car drives over a cliff		2019-06-06
		From Victor: A car was going 90 mph towards 90foot drop. What would the distance would the car travel horizontally ,from the cliff edge? Answered by Penny Nom.
	A dot on a child's car wheel		2019-04-28
		From julia: A wheel of a child’s car revolves at 10 rpm. A painted dot on the circumference of the wheel is 12 cm from the centre of rotation of the wheel. How far does the dot travel in 5 s, to one decimal place? Answered by Penny Nom.
	Running around a circular track in opposite directions		2019-02-24
		From carmi: how many times will lita and rose pass each other in 15 minutes if lita and rose start jogging on a 110 meters circular track. they begin at the same point but in opposite direction. lita at 8/3 meters per second and rose at 7/3 meters per second. Answered by Penny Nom.
	Amy and Joey on a circular track		2018-08-13
		From Zoe: Amy and Joey are situated on a circular track 400 feet around. Joey starts running at a rate of 10 feet per second. Amy waits for a full minute, then starts running from the same point (in the same direction) at 12 feet per second. How many seconds elapse before Amy passes Joey on the track? Answered by Penny Nom.
	An egg falls from rest		2018-05-10
		From Amy: An egg falls from rest a distance of 75cm to the floor. Neglecting air resistance, at what speed does it hit the floor? Answered by Penny Nom.
	Throwing a football		2018-04-26
		From Abby: Daring Danny's threw a football at an angle of 40 degrees to the horizontal. The football hit the ground at 36 feet. Danny is 5 feet 1 inch tall. Find the initial velocity I have been trying to figure this problem out for forever! Please help! I am really confused because I don't know time either and you are supposed to find that as well as velocity. Answered by Penny Nom.
	The distance between two men		2018-04-21
		From Kristin: If a 5 ft 6 in man gets hit at a downward 45 degree angle by a 5 ft 10 in man, how far apart are the two men? AND, would the shorter man have to be kneeling or standing? Is there a formula and answer for this question? Answered by Penny Nom.
	A penny is thrown from the top of a building		2018-03-16
		From Zoraida: A penny is thrown from the top of a 26.7-meter building and hits the ground 3.39 seconds after it was thrown. The penny reached its maximum height above the ground 0.89 seconds after it was thrown. a. Define a quadratic function, h, that expresses the height of the penny above the ground (measured in meters) as a function of the number of seconds elapsed since the penny was thrown, t. b. What is the maximum height of the penny above the ground? Answered by Penny Nom.
	A cyclist reduces his speed		2018-02-27
		From Katherine: Suppose the winner had reduced his average cycling rate by .1 mile per hour. By how much would his time have changed? (the cyclist's rate is 23.66 miles per hour and the answer to the question before this one was that he cycled 2,292 miles in 96.87 hours) Answered by Penny Nom.
	Walking up and down a hill		2017-09-19
		From Justina: At 2:20 p.m. Jack is at the top of the hill and starts walking down at the exact same time that Jill, who is at the bottom of the hill, starts walking up. If they maintain the uphill speed of 2mph and downhill speed of 4mph and the distance from the bottom to the top of the hill is 1.5 mi, at what time will Jack and Jill meet? Answered by Penny Nom.
	Up a hill and down again		2017-09-17
		From justina: Jack and Jill travel up a hill at a speed of 2mi/h.they travel back down the hill at a speed of 4mi/h.what is their average speed for the entire trip? express your answer as a mixed number Answered by Penny Nom.
	A car on a rough road and a concrete road		2017-08-27
		From Ken: A car is driven on a rough road at a speed of 25km and then on a concrete road with a speed of 70kph. The car has 5.5 hours to travel 225km. How long did the car travel on concrete road? Answered by Penny Nom.
	A police officer spots a speeding car		2017-07-20
		From Josh: Marie, a police officer, spots a speeding car and starts chasing it. The speeding car travels at a speed of 130 feet per second. Marie's car reaches a constant speed of 145 feet per second 1725 feet from the start of the chase. During that time, the speeding car has traveled 3150 feet. Write a system of equations to represent this situation. Answered by Penny Nom.
	How fast am I travelling?		2017-06-24
		From corey: if i travel 2 miles in 10 seconds, how fast am i travelling please Answered by Penny Nom.
	A man drives 48km in 45 minutes		2017-06-03
		From Jamal: A man drives from Ibadan to Oyo a distance of 48km in 45 minutes. If he drives at 72km/h where the surface is good and 48km/h where the surface is bad. Find the number of kilometers of good surfaces Answered by Penny Nom.
	Initial velocity		2017-05-23
		From Annelle: a body is thrown vertically downward from a height above the ground. determine the initial velocity and the height of the starting point if after 4 secs it reaches the ground with velocity of 68 m/s. Answered by Penny Nom.
	The length of a train		2017-04-24
		From Stefano: If a freight train is coming towards you and you were traveling at 85 miles an hour and it takes 35 seconds for the train to pass you how long is the train Figure 50mph for train Answered by Penny Nom.
	Travelling upstream and downstream		2016-10-17
		From Kathleen: It took a boat 2 hours to reach town A going upstream. The way back was 1h20 min. What is the speed of the boat in still water if the speed of the stream is 3 mph? Answered by Penny Nom.
	A car chase		2016-09-25
		From Ms.: Car 1 is traveling down the road at 50 mph and passes Car 2 is sitting on the side of the road. Car 2 needs to catch Car 1 one half mile down the road. How fast must Car 2 drive to catch Car 1 if Car 2 waits 10 seconds before pursuing Car 1? Yes, the assumption is that the Car 2 can accelerate from a standing position and over take Car 1 rate. What is the answer or formula for this type of question? Respectfully Befuddled Mom? Answered by Penny Nom.
	How fast and how far must Car 2 travel before catching Car 1?		2016-09-25
		From Ms.: Car 1 is traveling down the road at 50 mph and passes Car 2 is sitting on the side of the road. Car 2 needs to catch Car 1 one half mile down the road. How fast must Car 2 drive to catch Car 1 if Car 2 waits 10 seconds before pursuing Car 1? Yes, the assumption is that the Car 2 can accelerate from a standing position and over take Car 1 rate. What is the answer or formula for this type of question? Respectfully Befuddled Mom? Answered by Penny Nom.
	The distance around a warehouse		2016-09-21
		From Chuck: How far do I walk when I walk around a 751,000 sq. ft. warehouse? Answered by Penny Nom.
	John and Max walk to meet each other		2016-05-29
		From abhay: The speeds of John and Max are 30 km/h and 40 km/h.Initially Max is at a place L and John is at a place M. The distance between L and M is 650 km. John started his journey 3 hours earlier than Max to meet each other. If they meet each other at a place P somewhere between L and M, then the distance between P and M is? Answered by Penny Nom.
	At what time will Sara catch up with Jake?		2016-05-07
		From Laura: At 11:00 a.m., Jake started driving along a highway at constant speed of 50 miles per hour. A quarter of an hour later, Sara started driving along the same highway in the same direction as Jake at the constant speed of 65 miles per hour. At what time will Sara catch up with Jake? Answered by Penny Nom.
	A 3 hour river cruise		2016-05-06
		From Jan: A 3 hour river cruise goes 15km upstream and then back again.The river has a current speed of 2km/h.what is the boat's speed and how long was the upstream journey? Answered by Penny Nom.
	A road trip word problem		2016-04-10
		From Marc: While on a road trip I imagined this random word problem. Suppose I start a trip of 75 miles. My initial speed is 75 miles per hour. After every mile traveled I decrease my speed by one mile per hour. After the first mile I decrease my speed to 74 miles per hour and so on for each subsequent mile traveled. How long will it take to complete the 75 mile journey? Answered by Penny Nom.
	Biking and jogging		2016-03-17
		From alondra: Ricky went on a bike ride. After 6 miles he got a flat tire and had to jog home. He jogs 3mph slower than he bikes, so the jog took 1 hour longer than the bike ride. At what rate did he travel each way? Answered by Penny Nom.
	Travelling with and against he current		2016-02-09
		From Lloyd: A boat travelled 210 miles downstream and back. The trip downstream took 10hrs, the trip back took 70hrs 1. what is the speed of the current? 2. what is the speed of the boat in still water? Answered by Penny Nom.
	A two car competition		2016-02-02
		From Christian: Question: Two cars are racing to a fixed point and back. One car travels 70 MPH both ways While the other travels 60 MPH there and 80 MPH back, which car won the race? It is not a tie. Answered by Penny Nom.
	Matthew skateboards around the school		2015-12-09
		From Abigail: Matthew skateboards 4km each hour. How long will it take him to skateboard around the school yard measuring 300m by 200m.? Thank you. Answered by Penny Nom.
	Travelling in opposite directions		2015-12-06
		From Roselyn: Jenny and Mark commute to work, travelling in opposite directions. Jenny leaves the house at 8 AM, and averages 35 kph. Mark leaves at 8:15 AM, and averages 40 kph.At what time will they be 40 kilometers apart? Answered by Penny Nom.
	Riding a mountain bike up and down a mountain		2015-12-02
		From sam: Michael, can climb a mountain at 2.5km/hr on his mountain bike. he descends the mountain at 5.5km/hr. he completes the whole circuit in 7 hours. how long is the trail to the top of the mountain? Answered by Penny Nom.
	The distance between two boats		2015-07-26
		From mohammad: Two boats leave the same dock at the same time,one traveling due east at 10 mph and the other due north at 24mph,how many miles apart are the boats after 3hours ? Answered by Penny Nom.
	Two lorries approaching an intersection		2015-05-15
		From Nuraini: Two straight roads intersect at the right angles. Lorry A, moving on one of the roads, Approaches the intersection at 50mi/h and lorry B, moving on the other roads, approaches the intersection at 20mi/h. At what rate is the distance between the lorry changing when A is 0.4 mile from the intersection and B is 0.3 mile from the intersection? Answered by Penny Nom.
	Two cars approaching an intersection		2015-04-16
		From Engabu: Car A is traveling west at 50km/h & car B is traveling north at 60km/h. both are headed for the intersection of the two roads. At what rate are the cars approaching each other when car A is 3km & car B is 4km from the intersection? Answered by Penny Nom.
	Two airplanes		2015-04-14
		From john: two planes leave an airport at the same time, one going northwest (N35*W)at 400 mph and the other going east at 332 mph. How far apart are the planes after 4 hours to the nearest mile? Answered by Penny Nom.
	A train trip		2015-03-23
		From Ngcebo: A train travels a distance of 720 km at a speed of x km/h. on the return journey, it travels at an average speed of y km/h and completes the whole journey in an hour less. if the speed during the return journey was 10 km/h more, what were the speeds in m/s Answered by Penny Nom.
	Average rate for a return trip		2015-03-14
		From Michael: Jeffrey drove to a town 25 miles away at an average speed of 50 miles per hour. The return trip along the same route took 20 minutes longer than the trip to town. Determine the average speed in miles per hour for Jeffrey's round trip. Answered by Penny Nom.
	Istanbul to Lagos		2015-03-03
		From Victor: A plane flies from Istanbul to Lagos at 800km/h and then returns to Istanbul at 900km/h. The return trip takes 1 hour less than the flight to Lagos. What is the distance between Istanbul and Lagos? Answered by Penny Nom.
	Distance, time and rate for three people		2015-02-15
		From Mubashir: Steven left Town A and walked towards Town B at a speed of 100m/min. At the same time, Jason and Melvin started from Town B and walked towards Town A at a speed of 80m/min and 75m/min respectively. If Steven met Melvin six minutes after passing Jason, find the distance between Town A and Town B. Answered by Penny Nom.
	Stopping distance		2015-02-11
		From Audrey: A Harley Davidson motor cycle weighing 650 lbs with a rider weighing 175 bs was going 40 miles per hour. He had to make a sudden stop . Slammed on brakes. How long a distance for him to stop? Answered by Penny Nom.
	A circle and a chord		2015-02-07
		From Dakota: If the diameter of a circle is 48 cm, find the shortest distance from a chord of length 34 cm to the center of the circle Answered by Penny Nom.
	Speed, distance and time		2015-02-06
		From Terry: How many seconds would it take to travel 0.18 km at a speed of 130km per hour? Answered by Penny Nom.
	Two cars pass each other going in opposite directions		2015-02-03
		From Caroline: Two cars pass each other going i opposite directions. One car is going 100 km/h and the other is going 80 km/h. How far apart will the two cars be after driving 45 minutes at these rates of speed? Answered by Penny Nom.
	A train from Vancouver to Whistler		2015-02-02
		From Tea: Serena and Nina are taking a train from Vancouver to Whistler, a 160km trip. If the average speed is decreased by 16km/hr, the trip will be 1/2 hours longer. What is the average speed of the train? Thanks :) Answered by Penny Nom.
	A motorbike race		2015-01-25
		From Pramegh: In a motorbike race of 75 km, the winner completes the race with a lead of 300 meters and 8 seconds before the second rider. Considering the riders ride with an average speed, find the difference between their speeds with which they completed the race. (Calculate up to 2 decimal places) Answered by Penny Nom.
	Two cars		2015-01-18
		From taylor: two cars leave the park at the same time, one traveling north at a speed 10 mph faster than the other which is traveling south. after 3 hours the cars are 420 miles apart. find the speed of both cars Answered by Penny Nom.
	196 kilometer in2 hours		2014-12-29
		From Ekanem: QQ A motorist had planned to reach a place 196km in two hrs exactly. For the first 15km he was able to average only 40km/h. What average speed must he keep up for the rest of the journey if he is to arrive on time. Answered by Penny Nom.
	What is the speed of the boat in still water?		2014-10-30
		From Adam: The current in a stream moves at a speed of 2 km/h. A boat travels 38 km upstream and 38 km downstream in a total time of 3 hr. What is the speed of the boat in still water? Answered by Penny Nom.
	A man a ship and a wharf		2014-09-26
		From Ralph: A man om wharf 12 meters above the level of water is pulling a rope tide to a boat at the rate of 2 meters per minute. How fast is the boat approaching the wharf when there are 20 meters of the rope our. (with solution) Answered by Penny Nom.
	Problem solving		2014-09-08
		From hubert: a car left the house and travelled at an average speed of 60 kph.how many minutes will it take for the car to reach the school which is 8 km away from the house Answered by Penny Nom.
	A car passing a bus		2014-08-24
		From Athish: the driver of the car is travelling at 36 km/hr and spots a bus 80 m ahead of him after 1 hr the bus is 120 m behind the car what is the speed of the bus Answered by Penny Nom.
	Distance, speed and time		2014-08-13
		From abdel: Mac walked to a park from the college at 5 km/h. 10 minutes later, Steve started riding his bike at 15 km/h to the same park to meet Mac. They arrive at the same time at the park. How far is the park from the college? Answered by Tyler Wood.
	Speed, distance, time		2014-08-13
		From Aarti: a theif running at 8 km/hr is chased by a policeman whose speed is 10km/hr.if the thief is 100 m ahead the policeman then what will b time required for the policeman to catch the thief? Answered by Tyler Wood.
	A model of the sun and the Earth		2014-06-14
		From Lynn: There is a model of the sun that is 2 1/2 inches in diameter. This is the only clue we have! How far away is the earth from this model? Answered by Penny Nom.
	What is the speed of the buses?		2014-05-18
		From musliu: Two buses leave a bus station and travel in opposite direction from that same starting point.if the speed of one is twice the speed of the other and they are 240km apart at the end of 1h, what is the speed of the buses? Answered by Penny Nom.
	Travelling upstream and downstream		2014-05-12
		From Mohanad: Howie Sorkin can travel 8 miles upstream in the same time it takes him to go 12 miles downstream. His boat goes 15 mph in still water. What is the rate of the current? Answered by Penny Nom.
	2 cars driving towards each other		2014-04-27
		From Joakim: 2 cars driving towards eachother , the distance between them is 162km. they meet after 2 hours. car A is driving with 4/5 of car B´s speed. what is the speed of each car... Answered by Penny Nom.
	What time was it when joe's brother passed him?		2014-04-25
		From Nathan: joe left home in his bike at 10:00 am, traveling 21 km/h. At noon, his brother set out after him on his motorcycle, following the same route. if the motorcycle traveled at 63 km/h, what time was it when joe's brother passed him? Answered by Penny Nom.
	A speed word problem		2014-02-24
		From kiss: Hank bicycles 5 km/h slower than Kelly. In the time that it takes Hank to bicycle 42 km, Kelly can bicycle 57 km. How fast does each bicyclist travel? Answered by Penny Nom.
	Two bicyclists traveled in opposite directions		2014-02-07
		From Susan: Two bicyclists traveled in opposite directions, one at a rate of 8 km/hour and the other at a rate of 7 km per hour. In how many hours were they 45 km apart? Answered by Penny Nom.
	Walking up and down a hill		2014-02-06
		From flo: michelle walks 4 km to the top of a hill at 3 km/h then immediately walks back down at an average speed of 5 km/h what is her average speed for the 8km walk Answered by Penny Nom.
	Radio direction finders		2014-01-09
		From Nathan: Radio direction finders set up two points A and B, which are 2.5 miles apart on an east-west line. From A, it is found that the bearing of a signal from a radio transmitter is N36.33 degress E, while from B the bearing of the same signal is N53.67 degrees W. Find the distance of the transmitter from B. Answered by Penny Nom.
	Two tuna boats		2014-01-09
		From amanda: Two tuna boats start from the same port at the same time, but they head in opposite directions. The faster boat travels 10 knots per hour faster than the slower boat. At the end of 8 hours, they were 272 nautical miles had each boat traveled by the end of the 8 hour period? Answered by Penny Nom.
	Distance from a point to a line		2013-12-28
		From Sue: I need to find the distances from the west line on 1st Take Point and 2nd Take Point. Thanks, Sue Answered by Penny Nom.
	One train overtaking another		2013-11-11
		From kiran: two trains of equal length are running in parallel tracks in the same direction with the speed of 60km/hr and 90km/hr respectively the latter completely crosses the former in 30 seconds the length of each train is in mtr Answered by Penny Nom.
	The average time per mile for a marathoner		2013-11-04
		From Peter: a runner ran a 26.2 mile marathon in 2hours 8minutes and 24secounds. the question is, what was his average time for each mile that he ran? Answered by Penny Nom.
	A pool, a school, a park and home		2013-09-24
		From Selena: The distance from the park to the pool is the same distance as the distance from your house to school. The school is between the pool and your house. Prove that the distance from the park to the school is the same distance from the pool to your house. Answered by Robert Dawson.
	What is the original speed?		2013-08-10
		From MJ: If a truck increases its average speed by 10 km/h it can cover 60 km at the original speed in the same time that it can cover 80 km at the faster speed. What is the original speed? Answered by Penny Nom.
	Distance as a function of acceleration		2013-07-10
		From Tom: If you start at a stoplight and your acceleration is 16t - t^2, how far have you gone after 8 seconds? Answered by Penny Nom.
	Diego and his dog		2013-07-09
		From William: john went hunting and walked at a speed of 4 km/h. one hour later, Diego and his dog went to meet john with a speed of 6 km/h and the dog was running between john and diego until they meet up with a speed of 18 km/h. After Diego meets john, how much distance did the dog run? Answered by Penny Nom.
	The distance between 2 lines in 4D		2013-04-01
		From samane: how can i measure the distance between 2 lines in 4D?? Answered by Chris Fisher.
	A shortest distance problem		2013-03-28
		From LYNDELL: I have a right triangle and know the length of all sides. How do I calculate the shortest distance from the vertex of the 90 degree angle to the hypotenuse? Answered by Penny Nom.
	6 miles in 28 minutes what's my average speed?		2013-03-05
		From lynda: 6 miles in 28 minutes what's my average speed? Answered by Penny Nom.
	An electron in a TV tube		2013-02-15
		From anu: an electron in a TV tube is beamed horizontally at a speed of (50^6) m/sec. towards the face of a tube 40 cm away about how far will the electron drop before it hits? no information has been provided of initial height from where it is beamed. Answered by Robert Dawson.
	A journey of two parts		2013-02-06
		From Natalie: Mr Lim drove at 70 km per hour for 1 hour and 30 minutes. He then drove another 55 km. if his average speed for the whole journey was 80km per hour, what was his speed for the 55 km journey? Answered by Penny Nom.
	How fast are we approaching each other?		2013-01-11
		From Heather: If I am skating at 7 mph, and a car drives towards me at 15 mph, how fast are we approaching each other? Answered by Penny Nom.
	How fast is the distance between the aircraft and the car increasing?		2012-10-24
		From Steven: At a certain instant an aircraft flying due east at 240 miles per hour passes directly over a car traveling due southeast at 60 miles per hour on a straight, level road. If the aircraft is flying at an altitude of .5mile, how fast is the distance between the aircraft and the car increasing 36 seconds after the aircraft passes directly over the car? Answered by Penny Nom.
	Two swimmers		2012-10-22
		From Emily: Two swimmers start from opposite sides of the pool. Each swimmer swims the length of the pool and back at a constant rate. They pass each other for the first time 40 feet from one side of the pool and for the second time 45 feet from the other side of the pool. What is the length of the pool? Answered by Penny Nom.
	A plane travelling with the wind and against the wind		2012-08-03
		From Gwen: The time of a plane trip of 450 miles, with the wind is 3/5 the time of the return trip against the wind. If the plane travels 120 mph in still air, what is the wind speed? Answered by Penny Nom.
	A cyclist a jogger and a fly		2012-06-04
		From Emd: A cyclist & a jogger are 20 miles apart. Cyclist goes 20 mph & jogger 7mph towards each other. A fly starts on nose of cyclist & flies at 20 mph from cyclist to jogger & back & forth until they meet. How far has the fly travelled? Answered by Penny Nom.
	Romeo and Juliet live 40 miles apart		2012-05-18
		From Abigaíl: Romeo and Juliet live 40 miles apart. Romeo jogs 8mph, while Juliet “fast walks” at 4mph. They leave their houses at the same time and journey toward each other. a) How many hours after they start will they meet? b) Approximately how many miles from Romeo’s house is their meeting point? Answered by Penny Nom.
	Math, time and rate		2012-05-18
		From Abigaíl: Romeo and Juliet live 40 miles apart. Romeo jogs 8mph, while Juliet “fast walks” at 4mph. They leave their houses at the same time and journey toward each other. a) How many hours after they start will they meet? b) Approximately how many miles from Romeo’s house is their meeting point? Answered by Penny Nom.
	Cycling and running		2012-05-07
		From liz: a biathlete travels 20 miles in 2.25 hours. She cycles part of the way at 12 mph and runs the rest at 5 mph. How far did she run? Answered by Penny Nom.
	The maximum distance from the vertex of a triangle		2012-05-02
		From David: There are three towns A,B,and C, equi-distant apart. A car is 3 miles from town A, and 4 miles from town B. (ie, somehwere outside of the triangle which the three towns form) What is the maximum distance that the car can be from town A? This was asked as quiz question in my local pub last Sunday. The answer is 7. How do I prove it? Best regards. David in Denton. Answered by Robert Dawson and Chris Fisher.
	Two cars approach a right-angled intersection		2012-04-10
		From Michael: Two cars approach a right-angled intersection, one traveling south a 40km/h and the other west at 70km/h. When the faster car is 4km from the intersection and the other case if 3km from the intersection, how fast is the distance between the car cars changing? Answered by Penny Nom.
	How long will it take lee to catch up with jodie?		2012-03-21
		From kirsten: for example, if jodie is on the bus travelling at 10 m.p.h and lee is walking at 4 m.p.h how long will it take lee to catch up with jodie?? what is this mathematical name for this Answered by Harley Weston.
	Margie threw a ball		2012-02-16
		From mary: at 9:45 Margie threw a ball upwards while standing on a platform 35ft above the ground. The height after t seconds follows the equation: h(t)= -0.6t^2 +72t+35 a) what will be the maximum height of the ball? b)how long will it take the ball reach its maximum height?? Answered by Harley Weston.
	Jack and Kate set off in their cars ...		2012-02-13
		From akiri: Jack and Kate set off in their cars from the same point to travel the same journey. Jack has a start of eight minutes before Katie sets off. If Jack travels at 50mph and Katie travels at 75mph, how many miles will be travelled when the two cars are level? Answered by Penny Nom.
	There is a police officer in pursuit of suspect		2012-02-01
		From Jay: There is a police officer in pursuit of suspect. They suspect is driving on a straight road traveling at 79 mph, the officer is 233 yds away, traveling at 92 mph, the suspects car 5 ft long and the officers car is 5.3 ft long, how long will it take to have the front of the officers car, equal to the front of the suspects car down to the tenth of a second. Answered by Harley Weston.
	Two cars in a race		2012-01-30
		From Christine: In a car race, the speed of one car is 120kph and the other car is 105 kph. If the faster car finished the race 20 mins before the slower one, what was the distance of the race? Thanks for the answer and the previous answer to my question. Answered by Penny Nom.
	Brian on his bike		2012-01-16
		From tiffany: Brian rides his bike 0.29 miles per minute. If it takes him 22 minutes to ride his bike to his friend's house, how far away does his friend live? Answered by Penny Nom.
	Running 5 km		2012-01-12
		From Fayeann: What amount of time will it take a person running 7 m/s to travel a distance of 5 km? Answered by Penny Nom.
	A straight line distance		2012-01-06
		From Margaret: If you traveled 300 miles east and 275 miles north, how many miles would you save by going in a straight line? Answered by Penny Nom.
	Two trains passing each other		2011-12-07
		From Tamkeen: two trains 245m and 315m long are travelling toward each other at 90km/h and 54km/h respectively on parallel lines . how long do the train take to pass one another train the time they meet each other? Answered by Penny Nom.
	Uniform acceleration		2011-12-06
		From Android: At a certain instant, two cars A and B are 2000 ft apart. At this instant, car A is traveling at 15 miles/hr. and accelerating at 3 ft/s^2 while B is moving towards A at 30 miles/hr. and an acceleration of 2 ft/s^2. Find the ff: a.) The possible time of their collusion in minutes. b.) The distance in ft. each has traveled before collusion. Answered by Penny Nom.
	Two boats		2011-11-30
		From Shayan: A boat is traveling 20 miles per hour when it passes a lighthouse. another boat is traveling at 15 miles per hour when it passes a point. the lighthouse and the point are 175 miles apart. when will the boats pass each other? Answered by Penny Nom.
	The average speed for the whole journey		2011-10-30
		From Shahzad: a train travels 68 Km at an average speed of 51Km/h. It then travels another 20Km at an average speed of 40Km/h before reaching its destination. Calculate the average speed for the whole journey? Answered by Penny Nom.
	What is the speed of the boat in still water?		2011-10-07
		From Hannah: The speed of a stream is 3 mph. A boat travels 10 miles upstream in the same time it takes to travel 16 miles downstream. What is the speed of the boat in still water Answered by Penny Nom.
	Chuong and Hassan drive to work		2011-10-04
		From Dilshad: Chuong and Hassan both drive 40 km from home to work each day. One day Chuong said to Hasssan, "If you drive home at your usual speed, I will average 40 kmph faster than you and arrive home in 20 minutes less time." Find Hassan's speed. Answered by Penny Nom.
	Driving to meet Mary		2011-08-24
		From Denise: mary leaves St Paul traveling 2000 miles @ 55 MPH; John leaves LA traveling 2000 miles @ 45 MPH how many miles will John had traveled to meet mary? Answered by Penny Nom.
	Achilles and a turtle		2011-07-01
		From Jean: Achilles and a turtle are having a race. The turtle starts 45m ahead of Achilles and Achilles is twice as fast as the turtle. If turtle runs at 1m/s,how far would the turtle have run before he is outrun by Achilles? Answered by Penny Nom.
	Two trains		2011-06-07
		From Lynn: If the 1st train goes 60 mph and the 2nd train leaves 10 minutes later = at a speed of 70 mph, how long does it take to catch up with the 1st = train. Answered by Penny Nom.
	How many meters long should the race be?		2011-05-26
		From Lee: Nathan can walk at a rate of two meters per second while David can easily go three-and-a-half meters per second. David offers Nathan a 45 meter head start. How many meters long should the race be in order for Nathan to win by a nose Answered by Penny Nom.
	How far is it from the control tower?		2011-04-11
		From Varun: An aircraft is vertically above a point which is 10 kms west and 5 kms north of a control tower. if the aircraft is 4000 mts above the ground,how far is it from the control tower? Answered by Penny Nom.
	Two ships		2011-04-05
		From Gevork: Ship A is sailing due south at 16 mph. At the same time, a second ship B, 32 miles south of A, is sailing due east at 12 mph. (a) at what rate are they approaching or separating at the end of one hour? (b) At what rate are they approaching or separating at the end of two hours? (c) When do they cease to approach each other and how far apart are they at that instant. Answered by Penny Nom.
	Two boats		2011-03-29
		From Mamie: Two speed boats leave the port of San Francisco traveling in opposite directions at the same time.One boat travels 8 knots per hour faster than the other.After one day's travel they are 1,920 nautical miles apart.What are the speeds of the two boats. Answered by Penny Nom.
	Points with distance 5 from the point (-2, -1)		2011-01-19
		From Alexa: Find all points having a x-coordinate of 2 whose distance from the point (-2, -1) is 5. Answered by Penny Nom.
	What is its speed in miles per hour?		2011-01-06
		From Miriam: An airliner travels 125miles in 15minutes. What is its speed in miles per hour? Answered by Penny Nom.
	80 miles in 40 minutes		2010-12-08
		From james: i travel 8o miles in 40 minutes. how fast am i going in mph Answered by Penny Nom.
	Can determine if it is scalene, isosceles, or equilateral		2010-12-01
		From Jessie: find the measures of the sides of triangle KPL and classify each triangle by its sides. my first problem would be K(-3,2) P(2,1) L(-2,-3) ...The three points they give you are the vertices of the triangle and you need to match them up. Draw the triangle and write in the vertices and the related point with the vertex. You will then do the distance formula three times to find the distance of all three sides. Once you have the three sides you can determine if it is scalene, isosceles, or equilateral...using the distance formula how do i solve this? Answered by Penny Nom.
	What is its speed in still air?		2010-11-28
		From Shelby: An Airplane flies a certain distance in 3 hours going WITH a 40km/hr wind. It travels the same distance in 5 hours when going against the wind. What is it's speed and how long would it take to travel the same distance in still air? Distance = speed x time Answered by Penny Nom.
	How long will you and your friend be able to talk?		2010-11-23
		From beket: you and your friend leave your home town at the same time your friend travels by train 45 mph directly east while you travel by train 50 mph going directly south you are talking on cell phone but you plan charges extra if the phones are 100 miles apart. How long will you and your friend be able to talk before the charges increase? Answered by Penny Nom.
	A train passes a car		2010-10-24
		From Mary: A train, whose speed is 75 mph, takes 3 minutes to pass a car that is going 60 mph in the same direction. How long is the train? Answered by Stephen La Rocque.
	What are the speeds of the boats?		2010-10-21
		From Adori: Two boats leave the port of San Francisco traveling in opposite directions at the same time. One boat travels 8 knots per hour faster than the other. After one day's travel they are 1920 nautical miles apart. What are the speeds of the boats? Answered by Penny Nom.
	John and Mary are 200 miles apart		2010-10-20
		From Sarah: two people, john and mary, are 200 miles apart and leave at the same time to meet. They are driving toward each other at constant rate on the same straight road. John is traveling at 45 mph and Mary is traveling at 35 mph. When they meet, how many miles will they be from john's house? Answered by Penny Nom.
	A commuter airline between two cities		2010-10-19
		From Adori: An airline runs a commuter between two cities that are 720 miles apart. If the average speed of the planes is increased by 40 miles per hour, the travel time is decreased An airline runs a commuter between two cities that are 720 miles apart. If the average speed of the planes is increased by 40 miles per hour, the travel time is decreased by 12 minutes. What airspeed is required to obtain this decrease in travel time? Answered by Penny Nom.
	Two jets leave denver at 9 am.		2010-10-15
		From Carl: two jets leave denver at 9 am. One flying east at a speed of 50 km per hour greater than the other which is traveling west. At 11 am the planes are 2500 km apart. Find their speeds. Answered by Stephen La Rocque.
	Electronic cars around a circular track		2010-10-11
		From Taylor: Cory and Melissa are racing electronic cars around a circular track. They begin at the same time going in the same direction. Cory's car completes a revolution in 35 secs, while Melissa's car completes a revolution in 30 secs. How long will it take them before both cars reach the starting point again simultaneously? Answered by Stephen La Rocque and Penny Nom.
	Two cars		2010-09-30
		From Amanda: Two cars, 142 miles apart, start moving towards each other at the same time. One is moving 3 times as fast as the other. If they meet 1.7 hrs later, find the average speed of the slower car in miles per hour? Answered by Penny Nom.
	The distance between the origin and a moving point		2010-09-24
		From Norma: I am having problems with this question find the rate of change of the distance between the origin and a moving point on the graph of the function below if dx/dt=5 cm/sec y=x^2+2 Answered by Penny Nom.
	What is the average speed?		2010-09-21
		From Cindy: A boat travels downstream m nautical miles at d knots. It travels upstream m nautical miles at u knots. What is the average speed for the entire trip? Answered by Penny Nom.
	40 mph for 6 minutes		2010-09-20
		From Andy: If i was traveling at 40 mph for 6 minutes, what is my distance in miles? Answered by Penny Nom.
	Driving north, east and west		2010-09-02
		From dane: suppose that you drive 27 miles north, 31 miles east, 45 miles west, and 14 miles east. how far are you from your starting point? Answered by Penny Nom.
	Three cars		2010-08-30
		From Anil: 3 cars are moving at speed of 4 kmph,5.5 kmph and 8 kmph in a circular track.The circular track has a distance of 11 km. What is the time taken for all the 3 cars to meet at the starting point ? Answered by Stephen La Rocque.
	Running 100 km		2010-08-12
		From thomas: Another athlete runs 8 laps every day on the same 400m running track. How many days will it take him to run a total of 100 km? Answered by Robert Dawson.
	Two cars on a circular track		2010-08-12
		From david: If two cars starts to drive at point 1 and go in a circle when will they meet? (one cars speed is faster the other ) all I need is a formula Answered by Tyler Wood.
	How fast is the second car taveling?		2010-07-26
		From Jeff: A car is traveling 75 mph. It takes 12 miles to overtake a second car that was .5 mile ahead. How fast is the second car taveling? Answered by Stephen La Rocque.
	How much longer will it take to reach Toronto		2010-07-22
		From Rachelle: We are taking a trip from Ottawa, ON to Toronto, ON. The total trip is 150 kms and will take us 4.5 hours. We have already driven 108 kms and there is still 42 kms left to go. If we are travelling 110 kms/hr, how much longer will it take to reach Toronto? Answered by Penny Nom.
	Pursuing Car 1		2010-07-13
		From Mark: Car 1 is traveling down the road at 50mph and passes Car 2 is sitting on the side of the road. Car 2 needs to catch Car 1 one half mile down the road. How fast must Car 2 drive to catch Car 1 if Car 2 waits 10 seconds before pursuing Car 1? Answered by Robert Dawson.
	Half a mile at 50 mph		2010-07-13
		From Mark: How long will it take a car to travel 1/2 mile at 50 mph? Answered by Robert Dawson.
	Going to the bike shop		2010-06-07
		From Omi: Marie rode her bicycle from her home to the bicycle shop in town and then walked back home. If she averaged 6 miles per hour riding and 3 miles per hour walking, how far is it from her home to the bicycle shop if her total travel time was 1 hour? Answered by Penny Nom.
	What is the distance from A to C via B?		2010-05-24
		From vivianne: The distance from A to B is d km and that from B to C is x km. if a bus maintains an average speed of 50km/hr between A and B and 60km/hr between B and C, it takes 3 hours to travel from A to C. If it maintains 60km/hr between A and B and 50km/hr between B and C, the journey takes 8 minutes less. What is the distance from A to C via B? Answered by Penny Nom.
	When will the second truck catch up to the first?		2010-05-22
		From Josie: At 9:00 a.m. a truck leaves the truck yard and travels west at a rate of 45 mi/hr. At 11:00 a.m., a second truck leaves along the same route, travelling at 60 mi/hr. When will the second truck catch up to the first? Answered by Tyler Wood.
	How far am I from the starting point?		2010-05-18
		From jilayna: if i walk 5 miles north, 7 miles east, and 3 miles north again.to the nearest tenth of a mile ,how far,in a straight line, am i from my starting point Answered by Penny Nom.
	Sammy and his motorboat		2010-05-11
		From Jordan: Sammy owns a motorboat that travels 4 miles/hour in still water. It goes 12 miles upstream and 12 miles back again (downstream) in a total of 8 hours. Find the speed of the current of the river. Answered by Penny Nom.
	Line of sight		2010-05-06
		From David: I live in St. Joseph, Michigan and there is an ongoing argument regarding line-of-sight over the horizon. Standing on a 200 foot high bluff here, people swear they can see the top of the Willis (nee Sears) Tower in Chicago, which is about 1653 feet high. It is my contention that this is actually a "refracted reflection" and not direct-line-of-sight. So, to settle the argument, I'd sure like some simple explanation for this, even if-and I hope not-I am incorrect. David Answered by Harley Weston.
	40 miles at 50mph		2010-05-02
		From gill: if a car travelled 40miles at 50mph, how long would it take? Answered by Penny Nom.
	When are the cars exactly 40 miles apart?		2010-05-01
		From Maryanne: A car traveling east at 45 mph passes a certain intersection at 3pm. Another car traveling north at 60mph passes the same intersection 25 minutes later. To the nearest minute, figure out when the cars are exactly 40 miles apart. Answered by Penny Nom.
	If (x, 4) is equidistant from (5, -2) and (3, 4), find x.		2010-04-21
		From abeth: If (x, 4) is equidistant from (5, -2) and (3, 4), find x. Find the point on the y - axis that is equidistant from (-4, -2) and (3, 1). Answered by Penny Nom.
	What is the speed of the current?		2010-03-17
		From Carl: If you can row 3 mph in still water and paddle 3 miles upstream and return in 3.6 hours then what is the speed of the current? Answered by Penny Nom.
	The distance travelled by a minute hand		2010-03-06
		From Patric: How much distance will the minutes hand of length 14mm of a clock cover in moving from 5 to 10? Answered by Penny Nom.
	At what time would Joan catch Jo?		2010-03-04
		From Rusty: If Jo left his house at 6:30am traveling at 5mph and Joan left the same house 7:00am traveling at 8mph, at what time would Joan catch Jo? Answered by Penny Nom.
	The vertices of an equilateral triangle		2010-02-19
		From Emma: If two of the vertices of an equilateral triangle are (2,1) and (6,5), what are the two possible coordinates of the third side of the triangle? Answer in radical form. Answered by Tyler Wood.
	The center of a rectangular room		2010-02-16
		From Diana: Consider a rectangular room, 15 feet wide, 30 feet long and 12 feet high. What is the exact distance from any of the 8 corners of the room and its geometric center? Can you write a generic formula for such a distance? And if we keep the same proportions on all dimensions, can you write an expression for the same distance as a function of the floor perimeter? Answered by Penny Nom.
	The distance from a chord to an arc		2010-02-11
		From matt: hello, I have to layout a radius without being able to pull from the center my radius is 3819.53 feet and i have a chord length of 275.59 feet if i broke that up into 25.05 feet sections how would i calculate the lengths from my chord to that radius? Answered by Robert Dawson.
	A decrease in travel time		2010-01-30
		From Mike: if a 100 mile trip averages 50 miles per hour, how much distance does one need to travel at 90 miles per hour to decrease travel time by 10% Answered by Stephen La Rocque.
	A tunnel from Toronto to Montreal		2010-01-25
		From Dave: I want to make a tunnel from Toronto to Montreal (for example) Something like this http://mathcentral.uregina.ca/QQ/database/QQ.09.09/h/grant1.html ------------- My coordinates are 45.442455,-73.861340 (Montreal) and 43.442455, -79.861340 (Toronto) I need to know how to find arc distance, chord distance and radius What websites can i find for this subject Google has many but they are useless (blah blah) websites LOL Thanks Answered by Chris Fisher and Robert Dawson.
	How long will it take to go 1 mile at 80 mph?		2010-01-19
		From Susann: How long will it take to go 1 mile at 80 mph? Answered by Penny Nom.
	How fast am I walking?		2010-01-10
		From KEVIN: IF I WALK 3 MILES IN 28 MINUTES, HOW FAST AM I WALKING? Answered by Penny Nom.
	Gail and Bill drove to the beach		2010-01-10
		From Nicole: Gail and Bill drove to the beach at an average speed of 50mph. They return home over the same road at an average speed of 55mph. The tip took 30 min less time. How far is the beach from their house? Answered by Stephen La Rocque.
	... the original speed of the car was?		2009-12-08
		From venkatesh: A car travels a distance of 840 miles at a uniform speed if the speed of the car is increased 10 m/h more ,it takes two hours less to cover the same distance ,the original speed of the car was? options:75 mh,65 m/h,60 m/h,55 m/h,45 m/h . Answered by Claude Tardif.
	Walking at 4/5 of his usual speed		2009-12-05
		From venkatesh: walking at 4/5 of his usual speed a man is 10 minutes too late .find his usual time. Answered by Penny Nom.
	At what rate are the people moving apart?		2009-11-01
		From saira: A man starts walking north at 4 ft/s from a point P. 5 minutes later a woman starts walking south at 5 ft/s from a point 500 ft due east of P. At what rate are the people moving apart 15 minute after the woman starts walking ? Answered by Harley Weston.
	How far will it travel in 45 mins?		2009-10-27
		From maison: I'm stuck on the formula i dont remeber what it is can you help me out a car is traveling 80km/h how far will it travel in 45 mins Answered by Robert Dawson.
	Two jets are traveling towards each other		2009-10-05
		From jake: two jets are traveling towards each other and are 4000 km apart. the rate of one jet is 100 km/h faster than the rate of the other. if the jets pass each other after 2.5 hrs what is the rate of speed of the faster jet? Answered by Penny Nom.
	How long (distance)did it take to stop?		2009-09-30
		From mary: a car travelling at 50km/h stops in 4 seconds.how long (distance)did it take to stop? Answered by Harley Weston.
	How fast am i going?		2009-09-28
		From ron: how fast am i going if i drive 40 miles in 20 minutes...what is the formula for figuring this out. Answered by Leeanne Boehm.
	How long would it take the students to arrive at their campsite		2009-09-18
		From amanda: ..."A group of 5th grade student in New Zealand are going camping. They will hike from Wellingto to Ruapehu. Then they will follow a trail for another 1/2 mile to their campsite." Ok, 1 mile equals 5,280 feet. The class decided one step length is equal to 15 inches and there are 85 steps in 1 minute. Now for the question: About how long would it take the students to arrive at their campsite, if they don't make any stops??? Answered by Robert Dawson.
	Average speed		2009-09-11
		From john: Sally travels by car from one city to another. She drives for 20.0 min at 68.0 km/h, 40.0 min at 37.0 km/h, and 51.0 min at 77.0 km/h, and she spends 12.0 min eating lunch and buying gas. What is the average speed for the trip? Answered by Penny Nom.
	Paddling downstream		2009-09-04
		From Nicole: You head downstream on a river in a canoe. You can paddle at 6 km/h and the river is flowing at 2.4 km/h. How far downstream will you be in 55 minutes? Answered by Penny Nom.
	The distance traveled on a bike		2009-08-28
		From Dennis: I would like to calculate the distance traveled on a bike based on the size of the tire and on the number of revolutions per minute. This is based on the rider traveling at a constant speed. Answered by Stephen La Rocque.
	Two cars		2009-08-09
		From Jayna: If a car was traveling 20mph east and another car was traveling 30mph west, assuming they were 300 miles apart, at what point would they collide at the center? Answered by Penny Nom.
	A boat goes up stream 30 miles and ...		2009-06-29
		From Mohsin: A boat goes up stream 30 miles and down stream 44 miles in 10 hours. Again it goes up stream 40 miles and down stream 55 miles in 13 hours. Find the rates of the stream and of the boat. I am confused and unable to get an answer. Please help. Thanks Answered by Robert Dawson.
	A train crosses a tunnel		2009-06-25
		From Sabrina: A goods train of length one and half kilometres, is moving at a speed of 27km/hr. find the time taken by it to cross a tunnel of length seven and half kilometres Answered by Penny Nom.
	The Pythagorean theorem		2009-06-24
		From supreet: What are some real-world applications of the Pythagorean theorem? and How are the Pythagorean theorem and the distance formula related? Answered by Harley Weston.
	Driving to school and back		2009-05-17
		From marylyne: suppose you are late for school and you drive from your house at a constant rate of 70 mph.when class is over, you drive home at a more leisurely 50mph. what is your average speed? Answered by Penny Nom.
	What was her rate of speed?		2009-05-06
		From Stephanie: beth paddled a canoe to a picnic spot in the river in 2 hours. she traveled up the stream back to the original spot in three hours. the current was two miles per hour. What was her rate of speed? Answered by Robert Dawson and Stephen La Rocque.
	Two airplanes are 300 miles apart		2009-04-22
		From afzalsultan: Two airplanes are 300 miles apart and flying directly towards each other.One is flying at 200 miles per hour, and the other at 160 miles per hour.How long will it take for the two planes to meet Answered by Robert Dawson.
	Passing three cars		2009-04-16
		From Larry: If 3 cars are going 50 mph, and a fourth car pass the first 3 cars in 200 feet, how fast is the fourth car going? Answered by Stephen La Rocque.
	A man travels a total of 8km in 6 hours		2009-04-10
		From Kieran: Hello! I was wondering if you could help me with this question! Thank you A man travels a total of 8km in 6 hours if his speed was xkm/4hours in the first stage then his speed was 8-x/2hours in the second part. If the average speed for the first leg of the journey was 1.1km/h faster than the second part: find x Answered by Penny Nom.
	How many miles per hour was it traveling?		2009-04-04
		From Regina: a car traveled 16 miles in 30 minutes. How many miles per hour was it traveling? Answered by Penny Nom.
	310,000 cubic yards of concrete		2009-03-31
		From Mary: I am interested in getting a good, general analogy for 310,000 cubic yards of concrete - ideally as a length (miles) or distance between two US cities. Thanks! Answered by Penny Nom.
	A trip at two different speeds		2009-03-28
		From A student: Good afternoon! An automobile travels 4 hours at an average speed of 42MPH. How much longer must the truck travel at an average speed of 55MPH so the average speed for the total trip will be 50MPH? Thank you for your assistance! Answered by Penny Nom.
	The speed of a tire in revolutions per minute		2009-03-28
		From Jules: Suppose that a tire on a car has an outer diameter of 2,5 feet. How many revolutions per minute does that tire make when the car is travelling 60 miles per hour? (hint:first find the angular velocity in radians per minute.) Answered by Harley Weston.
	Subdividing a four-sided lot		2009-03-27
		From kannan: i have a 1.5 acre land having four sides A-B=64.8 meters B-C=94.2 meters C-D=54.4 meters D-A=127.2 meters angle at D is 90 the side AB (frontage)is road facing i want to split the plot in to two halves having same almost area and almost equal frontage, kindly help me, if possible explain with drawing. Regards Kannan Answered by Harley Weston.
	A 5 ounce object traveling at 60 mph		2009-03-27
		From James: if a 5 ounce object traveling at 60 mph at 100 feet above the ground, how far will it travel forward before hitting the ground. Answered by Robert Dawson.
	Two racers going around a track		2009-02-26
		From larisa: One racer makes a complete trip around the track every 28 seconds, while the other racer completes a trip around the track every minute. How many times will the first racer pass the second racer in 30 minutes? Answered by Robert Dawson.
	Fred in his canoe		2009-02-21
		From Susan: Fred paddled for 4 hours with a 7 km/hr current to reach a campsite. The return trip against the same current took 9 hr. Find the speed of Fred's canoe in still water. (Remember to include correct units) Answered by Penny Nom.
	How long will it take Jake to catch up?		2009-02-20
		From Rebecca: John is walking 2 miles per hour. Jake leaves home 15 minutes later and is walking 5 miles per hour . How long will it take Jake to catch up ? Answered by Penny Nom.
	Joggong in opposite directions		2009-02-19
		From Mallory: Emma and her mother jog along a mile-long circular path in opposite directions. They begin at the same place and time. Emma jogs at a pace of 4 mi/h, and her mother runs at 6 mi/h. In how many minutes will they meet? Answered by Robert Dawson.
	Catching up to the car ahead		2009-02-06
		From Ashley: Car A passes Car B on a freeway. The driver of Car B decides to speed up to 75 mph and catch Car A, whose driver is maintaining a constant speed. Looking ahead, the driver of Car B sees Car A go under an overpass one-qarter mile up the road. Exactly six minutes later, Car B catches Car A. How fast was the car going? Answered by Penny Nom.
	How long will it take to make 50 miles?		2009-01-26
		From Tamara: An object is traveling at a speed of 45 km/minute. How long will it take to make 50 miles? Answered by Robert Dawson and Stephen La Rocque.
	A tortoise and a hare		2009-01-20
		From jenna: A tortoise can run with a speed of 0.14 m/s, and a hare can run 20 times as fast. In a race, they both start at the same time, but the hare stops to rest for 1.0 minutes. The tortoise wins by a shell (25 cm). (a) How long does the race take? (b) What is the length of the race? Answered by Stephen La Rocque.
	Parallel distances from arc of circle to its chord		2009-01-16
		From Roger: Give the length of a chord of a circle and the height of the arc, how do I find the lengths of equally spaced parallel lines drawn from the chord to the arc. (Think of the lengths of vertical slats in an arch-topped bed head board.) Answered by Chris Fisher and Stephen La Rocque.
	Two trains		2009-01-12
		From Shanise: If train A leaves the train station at noon traveling 45mph and train B leaves the train station at 1pm traveling 65mph, what time will the trains meet? Answered by Robert Dawson.
	How far are the boats apart?		2008-11-14
		From dom: Two boats leave port at the same time. They leave at 150 degree angle. One boat travels at 10mph and the other at 20mph. After two hours how far are the boats apart? Answered by Penny Nom.
	A circle tangent to a line and with its centre on another line		2008-11-01
		From liza: Find the equation of the circle of radius squareroot 26 tangent to the line 5x+y=13 and having its center on the line 3x+y+7=0. Answered by Chris Fisher.
	The speed of the boat and the river		2008-10-28
		From Jenn: On the Amazon River in Brazil, a boat goes 50 miles upstream in 3 hours, later the boat returns to the starting point in 2 hours. What is the speed of the boat in still water and what is the current speed in this part of the Amazon? Answered by Penny Nom.
	Travelling home o the train		2008-10-18
		From nadha: MELISSA reached the railway station at 9.30am.The distance between the railway station and her hometown was 720 km.At what time would she reach her hometown if the train travelled at an average speed of 120 km/h? Answered by Penny Nom.
	If you are driving 40mph, how long does it take to go 2.5 miles?		2008-10-18
		From Nathan: If you are driving 40mph, how long does it take to go 2.5 miles? Answered by Penny Nom.
	Two planes flying in opposite directions		2008-10-16
		From samantha: i don't understand how to do this problem.two jets leave denver at 9:00 am one flying at a speed 50 km/h greater than the other, which is traveling west. at 11:00 am the planes are 2500 km apart. find their speeds. Answered by Penny Nom.
	5 units from (1,2) and 5 units from y-axis		2008-09-26
		From Shaun: Find the points (x,y) in the plane that are 5 units from (1,2) and 5 units from y-axis. I am more interested in the approach, in general terms, than the numerical values. Answered by Penny Nom.
	Distance, time and rate		2008-09-11
		From Pauline: During the first part of a trip, a canoeist travels 100 miles at a certain speed. The canoeist travels 25 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 5 hrs. What was the speed on each part of the trip? Answered by Penny Nom.
	Running in opposite directions		2008-07-29
		From maame: if i run six miles per hour and my friend runs four miles per hour and we both run for two hours in opposite directions how many miles apart will we be after the two hours? Answered by Janice Cotcher and Penny Nom.
	Braking Distance Relationship		2008-07-23
		From Mr.Adjetey: you are travelling at 30km/h.According to the rule of thumb,the braking distance is 9 metres when braking normally.How long is the braking distance under the same conditions when travelling at 60km/h? Answered by Janice Cotcher.
	Going from 45 mph to 35 mph		2008-07-09
		From Terry: How long (distance - feet AND time) will it take a car traveling at 45 mph to slow down to a speed of 35 mph? Answered by Harley Weston.
	Two trains		2008-07-07
		From Elisha: Trains at each end of the 50. km long Eurotunnel under the English Channel start at the same time into the tunnel. Find their speeds if the train from France travels 8. km/h faster than the train from England and they pass in 17 minutes. Answered by Janice Cotcher and Penny Nom.
	A boat travels 20 kms upstream in 6 hrs ...		2008-07-07
		From vidya: A boat travels 20 kms upstream in 6 hrs and 18 kms downstream in 4 hrs. Find the speed of the boat in still water and the speed of the water current? Answered by Penny Nom.
	How far from each other will they be?		2008-06-18
		From kerstin: a women jogging at 6 mi/h passes a men biking in the opposite direction at 12 mi/h. if the maintain their speeds, how far from each other will they be 10 minutes after passing? Answered by Stephen La Rocque.
	The length of a shadow		2008-05-27
		From Simon: A figure skater is directly beneath a spotlight 10 m above the ice. IF she skates away from the light at a rate of 6m/s and the spot follows her, how fast is her shadow's head moving when she is 8m from her starting point? The skater is (almost) 1.6m tall with her skates on. Answered by Stephen La Rocque and Harley Weston.
	55 mi/h for 4 h		2008-05-21
		From brenda: mary drove her car at 55 mi/h for 4 h. Use the formula d = rt (where d is the distance traveled, r is the rate of travel and t is the time traveled) to determine how far mary traveled. Answered by Penny Nom.
	A crate is launched from an airplane		2008-05-10
		From Michelle: A crate is launched from an airplane, 75 feet above the ocean, with an initial vertical velocity of 60 feet per second. How many seconds will it take for the crate to hit the water? Round to the nearest hundredth. Answered by Harley Weston.
	How far is it from the top to the bottom of the mountain?		2008-05-09
		From Matthew: A ski lift carries a skier up a slope at a rate of 2 miles per hour. Following the same path down the mountain, the hiker has a rate of 4 miles per hour. If the round trip took 3 hours, how far is it from the top to the bottom of the mountain? Answered by Penny Nom.
	5 miles per hour for 30 minutes		2008-04-29
		From Joshua: A boat travels at a constant rate of 5 miles per hour for 30 minutes. How far does the boat go in that time? Answered by Penny Nom.
	Driving home from work		2008-04-25
		From brittanygrant: brittany house is 37 miles from his job. He leaves at 6:25pm, and drives 49 miles per hour. what time will he get beck home? Answered by Penny Nom.
	45 miles at 50 mph		2008-04-18
		From Willie: If you travel at 50 mph, how long does it take to go 45 miles? Answered by Penny Nom.
	Jill and Matt run on a 400 meter long oval track		2008-04-11
		From jamie: Jill and Matt run on a 400 meter long oval track. Jill and Matt each run 10 laps daily and both run in the same lane. One day Jill and Matt began at the same point, but ran around the track in opposite directions. Jill ran at a constant speed that was 2 meters per second faster than matts constant speed. Jill passed Matt for the first time in 40 seconds. Jill ran at a constant rate of how many meters per second? Answered by Penny Nom.
	Two trains left the city at the same time		2008-04-11
		From J: Two trains left the city at the same time, traveling in opposite directions. The eastbound train travels for ten hours and the westbound train travels for 5 hours. They are now 1300 km apart. The westbound train's rate is 20 km/hr faster than the eastbound train. Find the speed of each train. Answered by Penny Nom.
	A river boat		2008-04-09
		From jessica: heres a crazy riddle a river boat that travels 12 mph in still water makes a pleasure trip to a city upstream and back in 3 hours. If the city is 10 miles aways, what is the rate of the current Answered by Stephen La Rocque.
	The shortest distance from a point to a line		2008-04-03
		From Katherine: How do I find the shortest distance from the point (3,5) to the line x = -2 Answered by Stephen La Rocque.
	Distance seen		2008-03-18
		From Nev: formule: Distance Seen S = 1.225 x square root of H S = Distance seen in Miles H = Height in Feet What dose 1.225 Relate To ? Answered by Stephen La Rocque.
	A train and a boat		2008-03-15
		From Sabrina: A railroad bridge is 20m above, and at right angles to, a river. A person in a train travelling at 60 km/h passes over the centre of the bridge at the same instant that a person in a motorboat travelling at 20km/h passes under the centre of the bridge. How fast are the two people separating 10s later? Answered by Harley Weston.
	Two points moving on a straight line		2008-03-06
		From laura: Particle A travels at constant speed of 1.0ms-1 in straight line, passing particle B, at which time particle B beings traveling with constant acceleration of 0.2ms-2 until reaching Particle A. What equations represent the displacement of particle A and particle B measure from the point they first pass? How long does it take for particle B to catch up with particle A? What is the speed of particle B when reaching particle A? What distance have both particles traveled from where they first pass to where they meet again? Calculate the displacement of both particle A and B at 2 second intervals between t=0s and t=12s? Answered by Stephen La Rocque and Penny Nom.
	A dog and a fire hydrant		2008-03-06
		From Brittany: A bulldog is walking east along Main St. at a speed of 4 miles per hour. He wants to get to a fire hydrant on a parallel street. Initially, the bearing to the hydrant is south 62 degrees east. After 20 minutes, the bearing is south 41 degrees east. If the bulldog continues his walk, what is the closest he will be to the hydrant? Answered by Stephen La Rocque.
	What point on the graph y = e^x is closest to the origin?		2008-03-03
		From elvina: What point on the graph y = e^x is closest to the origin? Justify your answer. Answered by Stephen La Rocque.
	A package of supplies is dropped from a plane		2008-02-29
		From beth: An airplane flies west at a speed of 200m/s. A package of supplies is dropped from the plane to some campers. if the plane is at an altitude of 1000meters, how far from the campers should the package be dropped to land near them? ignore wind resistance. Answered by Stephen La Rocque.
	A ball bearing is placed on an inclined plane		2008-02-15
		From Leah: A ball bearing is placed on an inclined plane and begins to roll. The angle of elevation of the plane is x. The distance (in meters) that the ball bearing rolls in t seconds is s(t) = 4.9(sin x)t^2. What is the speed of the ball bearing, and what value of x will produce the maximum speed at a particular time? Answered by Penny Nom.
	The distance around a building		2008-02-06
		From olivia: If you walk around a building that is 102,869 sq ft, how many miles is that? Answered by Penny Nom.
	Two cars are on a collision course		2008-02-06
		From Danielle: Two cars are on a collision course, heading straight towards each other. One car is traveling 45 miles per hour and the other is traveling 75 miles per hour. How far apart will the two cars be one minute before they collide. Answered by Penny Nom.
	How fast does each travel?		2008-02-05
		From kRYSTAL: May rides her bike the same distance that leah walks. May rides her bike 10km/h faster than leah walks. Its takes May 1 hour and Leah 3 hours to travel the sam distance, how fast does each travel? Answered by Penny Nom.
	Driving from Mathville to Bioville		2008-02-01
		From Ariel: Mahtab took hours to drive from Mathville to Bioville, a total of 485 km. She drove part by highway at 80 km/h and part by slow roads at 30 km/h. How many hours did she drive each type of road? Answered by Penny Nom.
	2 km at 5.00 m/s		2008-01-29
		From Stephanie: How much time does it take for a student running at an average speed of 5.00 m/s to cover a distance of 2.00 km? Answered by Penny Nom.
	How far from the corner will the police catch the car?		2008-01-27
		From Joel: A car is going down the road at a speed of 90km/h in a 50km/h zone. As the car passes a corner, a police cruiser sitting there notices it. Five seconds later the cruiser begins accelerating at 5.0m/s squared. Assuming that he is able to maintain this acceleration, how far from the corner will the police catch the car? How fast will the cruiser be going? Answered by Stephen La Rocque.
	Two bikers race on a circular track		2008-01-17
		From Abby: Two bikers race on a circular track. Biker A can circle the track in 8 minutes, and Biker B can circle the track in 6 minutes. From the start of the race, how many minutes will it be before Biker B overtakes Biker A? Answered by Stephen La Rocque and Penny Nom.
	Driving towards each other		2008-01-16
		From Shanda: Paul and Charlene are 420 miles apart. They start toward each other with Paul driving 16 miles per hour faster than Charlene. They meet in 5 hours. Find Charlene's speed. Answered by Stephen La Rocque.
	The distance back to school		2008-01-16
		From priya: a boy starts travelling from his house to his school. He travels 1 km east and then 2km north and then 1 km East and 1km North and then 1 km east and then 1 km North. find out the shortest distance for him to reach his shool? Answered by Harley Weston.
	How fast does Kim paddle in still water?		2008-01-07
		From Fran: Kim paddled a canoe 10 km upstream and then paddled back to his starting point. If the rate of the current was 2 km/h that day and the whole trip took 3.75 h, how fast does Kim paddle in still water? Answered by Penny Nom.
	What is the speed of the plane in still air?		2008-01-05
		From oscar: A plane flies 400 miles with the wind and 340 miles against the wind in the same length of time. If the speed of the wind is 24mph, what is the speed of the plane in still air? Answered by Penny Nom.
	The shortest distance to a line		2008-01-04
		From nana: 3y+4x-12=0 is the equation of the line AB on a graph......the line AB joins both y and x axises together.....point A is on y axis and its value is 3....point B is on x axis and its value is 4.....Question : from point O(0,0).find the point ont the line AB Answered by Stephen La Rocque.
	Sally, Charlie and Snoopy in a race		2007-12-29
		From Marie: Sally and Charlie are having a race. Charlie gets a 900 foot lead and runs 8 inches per second. Sally begins at the starting line and runs at a rate of 5 ft per second. Charlie's dog is also in the race. Snoopy starts 1100 feet ahead of Sally and runs toward the starting line at a rate of 1 foot per second. When will Charlie and Snoopy past each other and how far will they be from the starting line? Answered by Penny Nom.
	Two cars drive in opposite directions		2007-12-23
		From dale: 2 cars starting from the same point in opposite direction on a straight highway drove 6 miles then turn left and drove 8 miles. How far apart are the cars? Answered by Penny Nom.
	Two cars going in opposite directions		2007-11-25
		From alexa: two cars leave town at the same time going opposite directions. one of them travels at 55 mph and the other at 65 mph. in how many hours will they be 150 miles apart? Answered by Penny Nom.
	Stopping distance and speed		2007-11-11
		From Joanna: The algebraic relation d=0.0056^2 ++ 0.14s models the relation between a vehicle's stopping distance d, in metres, and its speed s, in kilometres per hour. (a) What is the fastest you could drive and still be able to stop within 80 m? (b) What is the stopping distance for a car travelling at 120 km/h? (c) Estimate the length of an average car. How many car lengths does the the stopping distance in (b) correspond to? Answered by Stephen La Rocque.
	Two cars		2007-11-04
		From Jalisa: If Car "A" is traveling 50 miles per hour and car "B" is traveling 60 miles per hour, how long will it take car "B" to catch up to car "A" if car "A" had a 15 mile head start. Answered by Penny Nom.
	A car traveled 175m at certain speed		2007-10-28
		From abdi: A car traveled 175m at certain speed. if the speed had been 20 mph faster, the trip could have been made in 1 hr less time. find the speed? Answered by Stephen La Rocque.
	How to solve related rates problems		2007-10-27
		From David: Can you plz explain how and where you come up with an equation to solve this? Find the rate of change of the distance between the origin and a moving point on the graph of y = sin x if dx/dt = 2 centimeters per second. Answered by Stephen La Rocque.
	Area of a triangle formed by three points on a graph		2007-10-26
		From Betty: My question is 'find the are of a triangle whose vertices have coordinates (3,5),(6,-5), and (-4,10) Answered by Stephen La Rocque.
	Hitting golf balls		2007-10-03
		From Jessi: Ben is out at the practice range hitting golf balls. How much further will a golf ball with an initial speed of 75.0 m/s go when projected at 45.0 degree than when projected at 30.0 degree? Answered by Stephen La Rocque.
	Will the stone catch up the parachute?		2007-10-03
		From anoi90: a small parachute dropped from a 30.0 m high cliff falls with a constant velocity of 1.20 m/s. 20.0 s after the parachute is dropped, a stone is dropped from a cliff. Will the stone catch up the parachute before it reaches the ground? (Include numerical proof!) Answered by Stephen La Rocque.
	Motion along a line		2007-10-02
		From Claudette: If the position function of a particle is x(t) = sin^2(2t), find the distance that the particle travels from t = 0 to t = 2 Answered by Harley Weston.
	Points that are 15 units from the origin		2007-09-20
		From Paula: Find the coordinates of any point(s) 15 units away from the origin with an x-coordinate of 9. I was given the answer: (9,12) and (9,-12), but I do not understand how these numbers were calculated. Thank you for your help! Answered by Stephen La Rocque.
	A round reservoir		2007-08-14
		From lee: if you have a 46 acre round reservoir, how far around in feet would that be ?? Answered by Penny Nom.
	Three runners on a circular track		2007-08-04
		From Arul: A, B and C run around a circular track starting from the same point simultaneously and in the same direction at speeds of 4 kmph, 6 kmph and 8 kmph respectively. If the length of the track is 400 meters, when will A, B and C meet at the starting point for the first time after they started the race? 4 In the above question, when will they meet for the first time after they started the race? Answered by Penny Nom.
	At what speed does Chuck travel?		2007-07-27
		From Jessica: Chuck and Dana agree to meet in Chicage for the weekend. Chuck travels 224 miles in the same time that Dana travels 204 miles. If Chuck's rate of travel is 5 mph more than Dana's, and they travel the same length of time, at what speed does Chuck travel? Answered by Harley Weston.
	Circumscribing a golden cuboid with a sphere: surface areas		2007-06-14
		From Ainslie: A golden cuboid is defined as a rectangular prism whose length, width and height are in the ratio of phi : 1 : 1/phi. Prove that the ratio of the Surface Areas of the golden cuboid to that of the sphere that circumscribes it is Phi : Pi. Answered by Stephen La Rocque.
	Throwing a ball from the top of a building		2007-06-12
		From Gilligan: s = distance (in feet) Building height = 96 feet t = seconds Use s = 96 + 80t - 16t^2 to answer the question given below. QUESTION: After how many second t will the ball pass the top of the building on its way down? Answered by Penny Nom.
	I have N data points in m-dimensional space		2007-04-29
		From Sid: Hi, Given below is the problem that I am facing: I have N data points in m-dimensional space. I know the mean euclidean distance of the points from one given point (say the origin). Now I wish to find the mean Euclidean distance of the N points from another given point. How can i do this without knowing the values of the N points and only knowing the 2 origin points and the mean distance from one of the origin points ? Answered by Penny Nom.
	What is the speed of the boat?		2007-04-22
		From Sonja: A boat on a river travels downstream between two points, 20 miles apart, in one hour. The return trip against the current takes 2 1/2 hours. What is the speed of the boat? The answer in the book says 14 mi/hr, but I don't understand how to figure it out. It must be very simple, but I'm stuck. Thank you so much for helping me out. This is a FANTASTIC website! -Sonja Answered by Penny Nom.
	How far apart are the cars?		2007-04-07
		From ian: 2 cars set off in opposite directions and travel for 6 miles, they both take a left turn, and travel for a further 8 miles........... how far apart are the cars??? a) 10 miles b) 22 miles c) 20 miles d) 18 miles Answered by Penny Nom.
	A delivery driver travels from Belfast to an address in Dublin		2007-04-04
		From Gerry: A delivery driver travels from Belfast to an address in Dublin.The total distance fro the round trip was x%.The time required for the forward trip was xx hours.Due to heavy traffic during the return trip an extra xx was required How much slower was the delivery drivers speed on the return trip?. I was wondering what equation would you use to solve this question. Answered by Penny Nom.
	Tina swims 4 miles upstream at 1 mph		2007-03-31
		From Michael: If Tina swims 4 miles upstream at 1 mph and back downstream to the same point to the same point at 4 mph, what is her average speed? Answered by Penny Nom.
	Two busses		2007-03-15
		From Devon: A bus leaves a station at 1 p.m., traveling west at an average rate of 44 mi/h. One hour later a second bus leaves the same station, traveling east at a rate of 48 mi/h. At what time will the two buses be 274 mi apart? Answered by Steve La Rocque and Penny Nom.
	How long does she have to get out of the way?		2007-02-23
		From Sharon: How do I solve this? The height h (in feet) of an object that is dropped from the height of s feet is given by the formula h = s - 16t^2 , where t is the time the object has been falling. A 6 foot tall woman on a sidewalk looks directly overhead and sees a window washer drop a bottle from the 6 story. How long does she have to get out of the way? Round to the nearest tenth. (A story is 12 feet.) Answered by Penny Nom.
	How far from the port is the point where the ship turned?		2007-02-19
		From Chris: I was confused on this problem. If a ship leaves port and travel due east. At a certain point it turns 65 degrees south of east and travels b=322 nautical miles to a point 461 nautical miles on a direct line from port. How far from the port is the point where the ship turned? Answered by Stephen La Rocque.
	Increasing speed and decreasing time		2007-02-18
		From Nigel: I am completely lost...can you help with this: The time, t, to travel a distance, d, at a constant speed, v, can be obtained from the formula: d = vt. If the speed is increased by x, find an expression to represent the decrease in time to travel the same distance. Answered by Stephen La Rocque.
	Romeo is throwing pebbles		2007-02-08
		From Jessie: Romeo is chucking pebbles gently up to Juliet's window, and he wants the pebbles to hit the window with only a horizontal component of velocity. He is standing at the edge of a rose garden 4.5m below her window and 5.0m from the base of the wall. How fast are the pebbles going when they hit her window? Answered by Stephen La Rocque.
	A boat travels 60 miles downstream in the same time it takes to go 36 miles upstream		2007-01-27
		From Liz: A boat travels 60 miles downstream in the same time it takes to go 36 miles upstream. The speed of the boat in still water is 15 mi/h greater than the speed of the current. Find the speed of the current. Answered by Stephen La Rocque.
	Freefalling objects		2007-01-25
		From Patricia: How long will it take a stone dropped from atop a 1000-meter tall building to reach the ground? Answered by Stephen La Rocque.
	A college student jogs from his home to the beach		2007-01-23
		From Garmani: A college student jogs from his home to the beach at 8 miles per hour. He visits with his friends on the beach for 4 hours, and then his friends drive him home at the rate of 40 miles per hour. If the student returns home after 6 hour, what is the distance from his home to the beach? Answered by Penny Nom.
	What is the speed of each boat per hour?		2007-01-22
		From Garmani: Two tuna boats leave the same port traveling in opposite directions along the west coast of the United States. One boat travels 5 miles per hour faster than the other. At the end of one day's travel they are 1,080 miles apart. What is the speed of each boat per hour? Answered by Penny Nom.
	At what speeds were they travelling?		2007-01-16
		From Maria: Kim and Julie are joining Nicole at her parents cottage for the weekend. The cottage is 150km away from their neighbourhood. Kim can leave directly after school but Julie will be leaving after band practice, an hour and a quarter later. Kim took her time and drove slowly, averaging 20km/h slower than Julie. They both arrived at the same time. At what speeds were they travelling? Answered by Stephen La Rocque.
	What is his rate of walking for the entire trip?		2007-01-12
		From Garmani: A man walks 500 feet at 4 miles per hour and returns to the starting point at 3 miles per hour. What is his rate of walking for the entire trip? Answered by Stephen La Rocque.
	Throwing a stone downwards		2007-01-12
		From Momo: a stone is thrown vertically downward with an initial speed of 14m/s from a height of 65 m above the ground. A) how far does the stone travel in the first 2.0 s? B) what is the stone velocity just before it hits the ground? Answered by Stephen La Rocque.
	What is the speed of the current?		2007-01-07
		From Bob: A motorboat can maintain a constant speed of 16 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 20 minutes; the return trip takes 15 minutes. What is the speed of the current? Answered by Haley Ess.
	Cary was going to meet Jane at the airport, ...		2006-12-11
		From Carmen: cary was going to meet jane at the airport, if he traveled 60mph, he would arrive one hour early, and he traveled 30 mph, he would arrive one hour late. how far was the airport? recall: distance=speed(time) Answered by Stephen La Rocque.
	Rate of a boat and a river		2006-12-09
		From Dale: If a boat goes downstream 72 miles in 3 hours and upstream 60 miles in 6 hour, the rate of the river and the rate of the boat in still water respectively are ____? Answered by Stephen La Rocque.
	The Metra and the Amtrack		2006-12-03
		From Amy: A Metra commuter train leaves Union Station in Chicago at 12 noon. Two hours later, an Amtrak train leaves on the same track, traveling at an average speed that is 50 miles per hour faster than the Metra train. At 3PM the Amtrak train is 10 miles behind the commuter train. How fast is each going? Answered by Stephen La Rocque and Penny Nom.
	A trip on the Grand River		2006-11-30
		From Kristy: Romo decided to make a 28km trip up and 28km trip down the Grand River. the speed of the current is 3km. one way Romo travelled with the current and the other way against the current. During his trip, Romo stopped for half an hour for lunch. if Romo's total trip lasted 6hours, how fast did he travel? Answered by Stephen La Rocque.
	Two trains left the station at the same time and traveled in opposite directions.		2006-11-18
		From Tori: Two trains left the station at the same time and traveled in opposite directions. The E train averaged 130 km/h. The A train's speed was 110 km/h. In how many hours were they 480 km apart? Answered by Stephen La Rocque.
	Find the distance function s(t) given the acceleration function a(t)		2006-11-16
		From David: Find the distance function s(t) of the acceleration function: a(t)= sin(0.1t)/ cos^3(0.1t) Answered by Penny Nom.
	Going from one town to another		2006-11-04
		From Austin: Going from one town to another,a man drives his car at 35 miles an hour and returning he drives at 25 miles an hour. the round trip takes 6 hours. Find the distance between the towns. Answered by Stephen La Rocque.
	Paddeling on the Alleman River		2006-10-31
		From Anita: Len is planning a three-hour trip down the Alleman River and back to his starting point. He knows that he can paddle in still water at 3 mph and that the rate of the current is 2 mph. How much time can he spend going downstream? How far downstream can he travel? Answered by Penny Nom.
	The distance from a point to a line in 3 space		2006-10-29
		From Marie: find the distance from the point (1, -2, -3) to the line x = y = z-2 Answered by Penny Nom.
	How long will it be before the two snails meet?		2006-09-21
		From Brett: Two snails are 8.5 feet apart. They start to crawl toward each other at the same time. One of them travels at the speed of 6 in. per minute, while the other zips along at 11 inches per minute. How long will it be before the two snails meet? Answered by Penny Nom.
	Flying with and against the wind		2006-07-06
		From Tim: When a plane flies with the wind, it travels 800 miles in 4 hours. Against the wind it takes 5 hours to cover the same distance. Find the rate of the plane in still air and the rate of the wind. Answered by Stephen La Rocque.
	A boat travels 60 miles upstream ...		2006-05-28
		From Teenarick: A boat travels 60 miles upstream against the current in 3 hours. It takes 2 hours for the return trip. Find the speed of the boat in still water. Answered by Penny Nom.
	The distance to the moon from earth		2006-05-19
		From Maira: Using trigonometric functions first, show how to find the distance to the moon from earth and then find the radius of the moon. Answered by Stephen La Rocque.
	Absolute Value vs. Standard Deviation ?		2006-04-24
		From Sonia: Why we don't just take the average of the absolute value of difference scores (use the mean deviation) to describe variability instead of calculating the standard deviation? Answered by Claude Tardif.
	Distance to the horizon		2006-04-20
		From Raymond: If I stand on the edge of the sea on a beach and look into the horizon, is there a way or formula for calculating the distance from myself to the horizon? Answered by Stephen La Rocque.
	Wes and Tony live 360 km apart.		2006-04-01
		From Thiru: Wes and Tony live 360 km apart. If Wes travels at 80 km/h towards Tony. And Tony travels at 100 km/h towards Wes, how long will it take before they meet. Answered by Penny Nom.
	How far from Earth is Neptune?		2006-03-21
		From Scott: A laser beam travelling at the speed of light bounces off the planet Neptune and returns to Earth in 29 960.72 s. The speed of light is 299 792.5 km/s. How far from Earth is Neptune? Answered by Penny.
	Luke and Slim have only one horse.		2006-02-26
		From Emily: Luke and Slim have only one horse. Luke rides for the agreed on distance and then ties up the horse for Slim, who has been walking. Meanwhile, Luke walks on ahead. They alternate walking and riding. If they walk 4 miles per hour, and ride 12 miles per hour, what part of the time is the horse resting? Answered by Penny Nom.
	Traveling from Asheville to Indianapolis		2006-02-21
		From Grace: Carol was traveling from Asheville, North Carolina, to Indianapolis, Indiana, by bus. At the halfway point of her trip, in terms of distance, she fell asleep. When she awoke, her distance to Indianapolis was half the distance that she had traveled while she slept. For what fraction of her trip did Carol sleep? Answered by Penny Nom and Stephen La Rocque.
	A locus problem		2006-02-08
		From Jason: If the distance from p(1,5) is 3/4 that of the distance of a(4,-3)? find the equation of a locus. Answered by Penny Nom.
	What initial velocity is required to double the maximum height		2006-01-14
		From A photographer: A body is thrown into the air with an initial velocity V ft./sec. What initial velocity is required to double the maximum height previously obtained? Answered by Penny Nom.
	60.5 ft at 90 mi/hr takes how long?		2006-01-13
		From Bree: A ball travels over 60.5 ft at 90 mi/hr. How fast does the ball travel? Answered by Penny Nom.
	A long distance call		2005-12-05
		From A student: The Small World long distance phone company charges 55cents for the first minute of a long distance call and 23cents for each additional minute. 1. How much would a 10- minute long-distance call cost? 2. If a call costs $4.55. how long did the call last? 3. Write an equation for the total cost, C, of an m-minute long-distance call. Answered by Penny Nom.
	City A is 30 miles directly north of City C		2005-10-04
		From A student: City A is 30 miles directly north of City C, and City B is 40 miles directly east of City C. Cities A and B are connected by a straight road. Find the length of the shortest path from City C to the road that connects A and B. Answered by Penny Nom.
	The shortest distance from a point to a line		2005-03-30
		From carly: Find the shortest distance from the point (-15, 2.5) to the line 5x+6y=30. Answered by Penny Nom.
	A rate of change problem		2004-10-15
		From Frank: Find the rate of change of the distance between the origin and a moving point on the graph of y = x(squared) + 1 if dx/dt = 2 centimeters per second. Answered by Penny Nom.
	The distance formula		2004-09-04
		From Joe: Why do we use square roots and squares in the distance formula Wholdnt they cancel each other out? Answered by Claude Tardif.
	How far apart are they?		2004-05-23
		From A student: 2 cars start at same loc. drive opposite direction for 6 miles then they each turn left and travel for 8 miles how far apart are they? Answered by Penny Nom.
	Distance, time and rate		2004-03-09
		From Peter: A car travels from one city to another at the speed of 32mph, if it had gone 4mph faster it could have made the trip in one half hour less. How far apart are the cities? Answered by Penny Nom.
	Driving from Sarnia		2004-02-11
		From Jane: "Crystal drove from Sarnia at 80km/hr. Emily left Sarnia one hour later and drove along the same road at 100km/hr. How far from Sarnia did Emily overtake Crystal?" Answered by Claude Tardif.
	The London marathon		2004-01-27
		From Nina: After a years training, Minnie Midriffe increased her average speed in the london marathon by 25%. By what percentage did her time decrease?o Answered by Penny Nom.
	Business trip		2003-12-19
		From Ameer: A businnessman drives from Washington, D.C., to Boston, a distance of 442 miles, and then makes the return trip. On the way to Boston, he drives 65 miles per hour, taking an 1-hour rest stop during the drive. After finishing his business in Boston, he make the return trip driving at 60 miles per hour and takes a 45-minute rest stop halfway through the trip. Which leg of the journey, Washington, D.C. to Boston, or Boston to Washington, D.C., takes the longer time? Answered by Penny Nom.
	A point and a line		2003-11-19
		From Meenakshi: Given a line segment L(x1,y1) to (x2,y2) and a Point P(x3,y3). I need the formula to find a point on the line L that is closest to the point (x3,y3). Answered by Penny Nom.
	A boat travels 12 km upstream...		2003-09-03
		From Sohaib: A boat travels 12 km upstream and back in 1 hour 45 minutes. If the speed of the current is 3km/hr throughout, find the speed of the boat in still water, giving your answerÝcorrect to 3 decimal places. Answered by Penny Nom.
	Two cars		2003-07-09
		From Nicole: Two cars start off at the same point on a striaght highway facing opposite directions. Each car drives 6 miles, talkes a left turn, and drives for 8 miles. How far apart are the two cars. Answered by Penny Nom.
	Is 3/5 CLOSEST to 0, 1/2 or 1?		2003-07-09
		From A student: I would like to know is 3/5 CLOSEST to 0, 1/2 or 1. And can 3/10 go either way as to be closest to 0 or 1/2. Answered by Penny Nom.
	Two airplanes leave Dallas		2003-02-06
		From A student: TWO AIRPLANES LEAVE DALLAS AT THE SAME TIME AND FLY IN OPPOSITE DIRECTIONS. ONE AIRPLANE TRAVELS 80 MILES PER HOUR FASTER THAN THE OTHER. AFTER THREE HOURS, THEY ARE 2940 MILES APART. WHAT IS THE RATE OF EACH AIRPLANE? Answered by Penny Nom.
	A train with 2 cars		2003-02-04
		From Michael: A train with 2 cars is traveling at a speed of 80 km/hr from town X to town y, located 800 km from each other. At the same moment that the train departed, a passenger started to walk back and forth from one end of car B to the other at a speed of 100cm/sec. Arriving in town Y, the passenger had already gone and returned 720 times. The length of car A is that of car B plus one fourth of the length of the locomotive, and the length of the locomotive equals the length of Car A plus one fifth of the length of car B. What is the total length of the train? Answered by Penny Nom.
	Miles per hour		2002-11-28
		From Liz: If a car has traveled 16 miles in 30 minutes, how many miles per hour did they go? Answered by Penny Nom.
	How long will it be before you reach your friend?		2002-09-16
		From Margaret: Your friend runs at 8 miles per hour and you drive at 40 miles per hour, hence the diatance between you is decreasing at 32 miles per hour. You firend left 2 hours before you so how far has he gone in that 2 hours? How long will it take for the distance between you to decrease to 0 miles if the distance is decreasing at 32 miles per hour? Answered by Penny Nom.
	Distance in 3-space		2002-08-16
		From David: The question is: how do I figure out the distance of one object in 3D space to another object in 3D space? I have an object at say x = 5.872, y = 2.876, and z = 7.290; and the other object is at x = 1.129, y = -8.213, and z = -11.127. I have been suggested to use the pythagorean theory on this, but since there are three variables, I don't understand how. Answered by Penny Nom.
	Bob swam across a river		2002-05-22
		From Torri: Bob swam across a river 420 ft wide. A strong current carried him 580ft downstream as he swam. Find x, the distance bob actually swam. Answered by Penny Nom.
	Trains and cracker boxes		2002-04-29
		From Lindsay: 1)Two trains are 250 miles apart on the same track heading towards eaxh other at 7AM- The first train travels at 55mph, the second at 75mph. At what time would they crash? 2)A cracker box measures 12 by 2 by 18 inches. The company wants to double the amount of crackers, but keep the shapes the same[similar] Find the new length[nearest tenth of an inch] Answered by Penny Nom.
	A test drive		2002-04-23
		From Jennie: At 9 A.M. a test car driving at a constant speed passes a marker 50 miles from it's starting point. At noon the car is about 130 miles from the marker. If the test drive ends at 1:30 P.M., how far will the car be from its starting point? Answered by Penny Nom.
	15 miles at 13 miles per hour		2002-03-12
		From Rich: If I were traveling 15 miles at 13 miles per hour how long will it take? Answered by Penny Nom.
	The distance across a circle		2002-01-18
		From Douglas: If you know how far around a circle is (say earth) 25000 miles how do you calculate the distance across? Answered by Penny Nom.
	The famous "train problem"		2002-01-12
		From Karen: How do you solve the famous "train problem"? For example, 2 trains leave different stations at the same time. One is traveling at 50 mph and the other at 40 mph. How long does it take them to meet? Answered by Penny Nom.
	Julia goes to work		2001-09-25
		From Karyna: On one October morning, Julia rides her bike (at 12 miles per hour) from her home to her friend Ida's house; then the two of them walk (at 6 miles per hour) to work. If it takes an hour for Julia to go the 10 miles from her home to work, how far does she walk? Answered by Penny Nom.
	Ray and Jane		2001-09-06
		From A student: If Ray and Jane live 150 miles apart and they both leave their house at the same time, Ray goes 30 mph the whole time and Jane goes 50 mph the whole time how many miles are they from Ray's house when they meet? And what is the exact travel time untl they meet. Answered by Penny Nom.
	Joe and his dad		2001-08-28
		From Sarah: Joe Spout left a campsite on a trip down the river in a canoe, traveling at 6 km/h. Four hours later, Joe's father set out after him in a motorboat. The motorboat traveled 30 km/h. How long after Joe`s father started did he overtake the canoe? How far had Joe traveled down the river when his father overtook him? Answered by Leeanne Boehm.
	The shortest distance from a point to a line		2001-06-05
		From Kat: Find the shortest distance from the given line. Round to the nearest tenth. (-2,-1) and x+5y+20=0 Answered by Penny Nom.
	A problem with distance		2001-01-16
		From A student: For what values of a is the distance between P(a, 3) and Q(5, 2a) greater than the square root of 26. Answered by Penny Nom.
	Connecting to a water line		2000-10-20
		From Vanja: My question is...A house is to be connected to a new water main that runs along the line y=2/3x-1. The connection point at the house has coordinates (2,9), where the units represent metres. What lenght of plastic pipe is needed to connect to the water main at the closest point? Answered by Penny Nom.
	Two geometry problems		2000-09-09
		From Becky: What are all the real values of x that are solutions for the inequality [x-2] < 6? ( it's less than or equal to) What is the distance between the points with (x,y) coordinates (3,-2) and (-3,-1)? Answered by Peny Nom.
	Euclidean distance		2000-09-06
		From Velma Zahirovic-Herbert: If d(x,y) is euclidean distance between x and y Prove that d(x,y)>=0 if d(x,y)=0 than x=y and d(x,y)=d(y,x) Answered by Paul Betts.
	A centroid problem		2000-06-02
		From Kerstin: An isoceles triangle has sides measuring 13 cm, 13 cm, and 10 cm. Find the distance from the centroid to the vertex of a base angle. Answered by Harley Weston.
	Taxicab geometry		2000-01-16
		From Jack: Im doing an investigation entitled 'taxicab geometry', ive attempted it and have done most of the practical part of it. But i cant seem to see the equation behind it all. please guide me in the right direction. They provide a regular grid with regular horizontal and vertical lines. The lines are roads and the actual squares are blocks of hoouses/ buildings. In taxicab geometry the distance between place A & B is worked out by adding together the horizontal and vertical distances. each square is counted as i unit. Part 1 (I've done this) A taxix cab firm is based at A. the posistion B is 7 units away from A. investigate all the posistions of B at 7 units. investigate for different distances. . . . Answered by Penny Nom.
	Distance between the windows		1999-09-19
		From Lawrence: An observer on level ground is at distance d from a building. The angles of elevation to the bottom of the windows on the second and third floors are a and b respectively. Find the distance h between the bottoms of the windows in terms of a b and d Answered by Harley Weston.
	A bike race		1999-04-23
		From Bill Gepford: Bill was in a bike race and his friend kyle calculated that if he went 15mph that he would cross the noontime checkpoint one hour early but if he rode 10mph he would arrive one hour late. How far away is the checkpoint? Answered by Penny Nom.
	An airplane problem		1999-03-08
		From B.M.R.: A plane left New York and headed East to its destination 3600 miles away across the Atlantic. On the way back its speed was boosted by a 50 mph tail wind and it arrived an hour early. What was its normal speed? Answered by Jack LeSage.
	Absolute value of i		1999-01-06
		From Wayne Bagley: I would like to know what is the absolute value of i. I need an answer suitable for the secondary level. Answered by Harley Weston.
	Two Chords		1998-09-29
		From Jennifer Cane: Question: two parallel chords of a circle, AB and CD, have lengths of 10 cm and 17 cm respectively. The diameter of the circle is 21 cm. Find the shortest distance between the chords. Answered by Harley Weston.
	Nickles on the Highway		1998-09-22
		From Ronnie Mac Donald: How many nickels would it take to cover 226km of highway,each nickel is 2cm in diameter? Answered by Penny Nom.

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