







Filling a tank using two pipes 
20061111 

From Tracey: One pipe can fill a tank in 8 minutes and a second can fill it in 12 minutes. If the tank is empty, how long will it take both pipes to fill it. Answered by Stephen La Rocque and Penny Nom. 





Filling a pool with two hoses 
20170220 

From Charlene: A large hose will fill a pool in 40 minutes while it takes a smaller hose 60 minutes to fill the same pool. The same pool takes 80 minutes to drain if the drain is open. Suppose one day both the hoses are turned on, but by accident the drain was left open. How long would it take to fill the pool that day? Answered by Penny Nom. 





Filling a tub 
20150102 

From Mr: The cold tap can fill a bath in 5minutes,the hot tap in 15,and the waste pipe empty the full bath in 10 minutes. All three are fully open for 2 minutes,after which the wastepipe is closed. How much longer will it take to fill the bath? Answered by Penny Nom. 





Working together 
20111230 

From Kenneth: 15 workers can finish a job in 7 days.
If I want to find the number of days 21 workers can finish the job, the calculation becomes 1/(21 workers) X 15 workers X 7 days.
If the 21 and 15 are reduced to 7 and 5, by dividing 21 and 15 by 3, the calculation becomes 1/7 X 5 X 7 days, what do these two reduced terms (7 and 5) indicate or represent?
Do they represent 5 workers and 7 workers, as in (1/7 worker) X 5 workers X 7 days = 5 days?
I thank you for your reply. Answered by Penny Nom. 





Working together 
20100504 

From Felicia: Sarah takes 3 hours longer to paint a floor than it takes Kate. when they work together it takes 2 hours. How long would each take to do the job alone? Answered by Penny Nom. 





Mixing drinks 
20090502 

From samantha: If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes and Jack can mix 20 drinks in 15 minutes. How much time will it take all 3of them working together to mix the 20 drinks? Answered by Stephen La Rocque and Claude Tardif. 





Working together 
20090304 

From bob: T=(AB)/(A+B) using this formula t= time a,b repersenting each indivual person
i mow my lawn and it takes me 30 minutes my friend joe it takes 3 times as long,how long would it takes us together using this formula Answered by Harley Weston. 





Three people working in pairs 
20090221 

From bevaz: A and B can together do a piece of work in 6 days, B and C together in 20 days and C and A in 7.5 days. how long will they require separately for the work? Answered by Penny Nom. 





Filling a tank with 2 taps 
20081110 

From Murray: 2 taps turned on together can fill a tank in 15 minutes. By themselves, one
takes 16 minutes longer than the other to fill the tank.Find the time taken to
fill the tank by each tap on it's own. Answered by Penny Nom and Victoria West. 





Working together but one person starts first 
20080930 

From David: Della can scrape the barnacles from a 70 ft. yacht in 10 hours using an electric barnacle scraper. Don can do the same job in 15 hours using a manual scraper. If Della started helping Don three hours after Don started scraping, how long will it take to scrape the entire boat? Answered by Penny Nom. 





Working together 
20080922 

From Wade: My daughter and I are having problems with this question:
Maggie can mow the lawn in 6 hrs. If her sister, Julie, helps her, it only take 2 hrs. How long
does it take Julie to mow the lawn alone. Answered by Penny Nom. 





Filling a cistern with two pipes 
20080514 

From ramya: two pipes P and Q would fil a cistern in 30 mins and 40 mins respectively.
both pipes being opened. find when the first pipe be turned off so that the cistern may be just filled in 20 mins.
options:
1. after 10 mins
2. after 15 mins
3. after 20 mins
4. after 25 mins Answered by Stephen La Rocque. 





Working together 
20080512 

From frustrated: Working alone, Colleen can paint a house in 2 hours less than James. working together, they can paint the house in 10 hours. How long would it take James to paint the house by himself?
Collen: 1/x2 times 10
James: 1/x times 10
10/x2 + 10/x = 1
10x + 10x 20 = x(x2)
0= x^2 22x + 20 They have the answer as 21 hours. From my previous work as you see, how are they getting 21 hours? Answered by Penny Nom. 





Working together 
20080426 

From Joanna: If 8 men took 15 days to paint a building . How many more men are needed to paint the building in 6 days ? Answered by Stephen La Rocque. 





It takes Mark 3 hours to paint a picture 
20080227 

From Suzanne: If Mark takes 3 hours to paint a picture and it takes Henry three times as
long to paint the same picture, then:
How many pictures can each paint in 10 hours?
How many pictures can they paint together in 10hours? Answered by Penny Nom. 





9 employees require 15 days to complete a task 
20080224 

From Alyssa: if 9 employees require 15 days to complete a task, how long would it take to do the same work if there were 3 additional employees? Answered by Penny Nom. 





Three workers working together 
20071218 

From Rajesh: Worker A can do a piece of work in 15 days, worker B in 12 days, and worker C in 10 days. Worker A works 2 days, worker B 3 days, and worker C 3 days. In what time can worker A and worker B finish the job by working together? Answered by Penny Nom. 





How long was she be raking leaves? 
20071005 

From Skylar: A family is raking leaves. Betsy fills 3 bags to every 2 bags the Meri fill. After a while, Jim joins them. He fills 3 bags to every 2 bags that Betsy fills, but he only works half as long. When finished, they have completely filled 58 bags. If Meri takes 6 minutes to fill one bag, how long was she raking leaves? Answered by Chris Langdon. 





Peter and Charles mow a lawn 
20070927 

From Nancy: Peter takes 15 minutes longer to mow the lawn by himself than Charles does. Together they can mow the lawn in 18 minutes. How long would it take Charles to mow the lawn by himself? Answered by Stephen La Rocque. 





12 men can complete a work in 8 days 
20070923 

From farah: 12 men can complete a work in 8 days. 3 days after they started working, 3 more men joined. In how many days will all of them together complete the remaining work. Answered by Stephen La Rocque. 





Working together 
20070921 

From farah: A can do a piece of work in 10 days while B can do the same work in 15 days . They work together for 5 days and the rest of the work is done by C in 2 days . If they get 400$ for the whole work , what should be A's share. Answered by Harley Weston. 





If all of them work together, ... 
20060727 

From Kakron: Pipe A can fill in 20 mins and pipe B can fill in 30 mins and pipe C can empty the same in 40 mins. If all of them work together, find the time taken to fill the tank? Answered by Stephen La Rocque. 





Painting a house 
20060628 

From A student: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together? Answered by Stephen La Rocque and Penny Nom. 





Worker A can do a piece of work in 15 days,... 
20060323 

From Kenneth: Worker A can do a piece of work in 15 days, worker B in 12 days, and worker C in 10 days. Worker A works 2 days, worker B 3 days, and worker C 3 days. In what time can worker A and worker B finish the job by working together? Answered by Penny Nom. 





One worker can perform a certain job in 8 days 
20060228 

From Kenneth: One worker can perform a certain job in 8 days, another worker in 10 days and a third worker in 12 days. In what time can all three perform it working together? Answered by Stephen La Rocque. 





Snow in the driveway 
20040409 

From Patricia: Following a severe snowstorm, Ken and Bettina Reeves must clear their driveway and sidewalk. Ken can clear the snow by himself in 4 hours, and Bettina can clear the snow by herself in 6 hours. After Bettina has been working for 3 hours, Ken is able to join her. How much longer will it take them working together to remove the rest of the snow? Answered by Penny Nom. 





Filling A swimming pool 
20021121 

From Sarah: A swimming pool is being filled by three pumps. Alone pump A would take 6 hours, pump B would take 3 hours, and pump C would take 3 hours. If all three pumps are used to fill the pool, what fraction of the process is pump A. Answered by Penny Nom. 





Painting a car 
20020924 

From A student: Dan can paint a car in 4 hours. Luke can pain the same car in 6 hours. Working together, how long would it take them to pain the same car? Answered by Penny Nom. 





Making toys 
20011217 

From Karen: Jonathan and Morgan are two of Santa's elves. Jonathan can make a toy in eleven hours. Morgan can make the same toy in nine hours. How long it take for both Jonathan and Morgan to make the toy if they were working together? Answered by Claude Tardif. 





Joan and Jan work together 
20010926 

From Karyna: Joan and Jan work together and they set up a bandstand in just 24 minutes, but if Joan does it by herself she takes 1 hour. How long would it take Jan to set up the bandstand by himself? Answered by Claude Tardif. 





Typing a project 
20010501 

From Tom: Two students have to type a project. One can do it in 2 hours. It would take the other student three hours. They have 2 type writers. How fast can they finish by working simultaneously? Answered by Claude Tardif. 





Working together 
20010426 

From Stephanie: Tom takes 10 hours to piant a mural on the wall of Evergreen School. Carol takes 6 hours to do the same job. If they work together, how long will it take them to paint the mural? Answered by Claude Tardif and Penny Nom. 





A Car Wash 
19980404 

From Lisa GotimerStrolla: Al washes a car in six hours. Fred washes a car in eight hours. How long will it take them to wash a car together? Answered by Harley Weston. 

