Question 147779: trains a and b are traveling the same direction on parallel tracks. train a is traveling at 100mph and train b is traveling at 120mph. train a passes a station at 10:25am.if train b passes the same station at 10:40am, 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 the same direction on parallel tracks.
train a is traveling at 100mph and train b is traveling at 120mph.
train a passes a station at 10:25am.if train b passes the same station at 10:40am,
what time will train b catch up to train a?
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Train A DATA:
Rate = 100 mph ; time = x hrs ; distance = rt = 100x miles
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Train B DATA:
Rate = 120 mph ; time = x-(1/4) hr ; distance = rt = 120x - 30 miles
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EQUATION:
distance A = distance B
100x = 120x - 30
20x = 30
x = 3/2 hrs
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B catches A at 10:25 + 1 1/2 hrs = 11:55
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Cheers,
Stan H.
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