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| Math Central | Quandaries & Queries |
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Question from vivianne, a student: 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? |
Vivianne,
If the bus maintains an average speed of 50 km/hr for the d kms from A to B it takes d/50 hours.
If the bus maintains an average speed of 60 km/hr for the x kms from B to C it takes x/60 hours.
This trip takes 3 hours so
d/50 + x/60 = 3 hours.
Develop a similar equation when the average speed from A to B is 60 km/hr and the average speed from B to C is 50 km/hr. Remember to express the 8 minutes in hours.
Solve the two equations for d and x.
Penny
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