Question 573813: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 mph and train B is traveling at 48 mph. Train A passes the station at 7:15 pm. If train B passes at 7:30pm, at what time would train B catch up to train A?
I know this is not that complicated, but for some reason I am drawing a blank on how to solve this. Really would appreciate any help.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 mph and train B is traveling at 48 mph. Train A passes the station at 7:15 pm. If train B passes at 7:30pm, at what time would train B catch up to train A?
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Train A DATA:
rate = 40 mph; distance = x miles ; time = d/r = x/40 hrs
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Train B DATA:
rate = 48 mph ; distance = x miles ; time = d/r = x/48 hrs
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Eqaution:
A time - B time = 1/4 hr
(x/40) - (x/48) = 1/4 hr
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[48x - 40x)/(40*48) = 1/4
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8x = 10*48
x = 10*6
x = 60 miles
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Cheers,
Stan H.
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