Question 146766: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and train B is traveling at 50 miles per hour.
Train A passes a station at 2:20 pm. If Train B passes the same station at 2:32 pm, 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. Train A is traveling at 40 miles per hour and train B is traveling at 50 miles per hour.
Train A passes a station at 2:20 pm. If Train B passes the same station at 2:32 pm, at what time will Train B catch up to train A?
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Train A DATA:
Rate = 40 mph ; time = x hrs ; distance = 40x miles
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Train B DATA:
Rate = 50 mph ; time = x-(1/5) hrs ; distance = 50[x-(1/5)]
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EQUATION:
distance A = distance B
40x = 50x - 10
-10x = -10
2x = 5/3
x = 1 hr.
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Distance will be the same at 2:20 + 1 hr = 3:20
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Cheers,
Stan H.
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