SOLUTION: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 mph and train B is traveling at 80 mph. Train A passes a station at 4:10am. If tra

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Question 174206: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 mph and train B is traveling at 80 mph. Train A passes a station at 4:10am. If train B passes the same station at 4:22am. at what time will train B catch up to train A?
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.
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Train A is traveling at 60 mph and train B is traveling at 80 mph.
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Train A passes a station at 4:10am. If train B passes the same station at 4:22am.
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At what time will train B catch up to train A?
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Train A DATA:
rate = 60 mph ; distance = x miles ; time = x/60 hours
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Train B DATA:
rate = 80mph ; distance = x miles ; time = x/80 hours
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EQUATION:
A time - B time = (12/60) hour
x/60 - x/80 = 1/5 hr
x/12 - x/16 = 1
(16x - 12x) = 12*16
4x = 12*16
x = 3*16 = 48 miles
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Cheers,
Stan H.