SOLUTION: Train A and B are traveling in the same direction on parallel tracks. Train A in traveling at 40 miles per hour and train B is traveling at 50 miles per hour. Train A passes a stat

Question 288508: Train A and B are traveling in the same direction on parallel tracks. Train A in traveling at 40 miles per hour and train B is traveling at 50 miles per hour. Train A passes a station at 3:15 P.M. If train B passes the same station at 3:27 P.M., 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!
Train A and B are traveling in the same direction on parallel tracks.
Train A in traveling at 40 miles per hour and train B is traveling at 50 miles per hour.
Train A passes a station at 3:15 P.M.
If train B passes the same station at 3:27 P.M., 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) hr ; distance = 50x-10 miles
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Equation:
distance = distance
40x = 50x-10
-10x = -10
x = 1 hr
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Time B will catch up to A: 3:27 pm + 1 hr = 4:27
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Cheers,
Stan H.
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