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December 1st, 2013, 07:37 PM   #1
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Speed Word Problem.

John goes from A to B by car. Then he goes by motorcycle back from B to A. The time it took him to go from A to B and from B to A is 7 hours.
Knowing that the motorcycle speed is 75% the speed of the car. Calculate the time it took him to go from A to B by car.
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December 1st, 2013, 08:08 PM   #2
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Re: Speed Word Problem.

c=car speed, m=motorcycle speed, h = hours by car

[A](@c)................ch....................>h[B]
[A]7-h<..............m(7-h)..............(@m)[B]

ch = m(7-h)

Substitute m = 3c/4
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December 28th, 2013, 05:32 PM   #3
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The car's time is 3/4 of the motorcycle's time (as they went the same distance).
The times total 7 hours, so the car took 3 hours and the motorcycle took 4 hours.
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