SOLUTION: Trains A & 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 48 miles per hour. Train A passes the sta

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Question 494785: Trains A & 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 48 miles per hour. Train A passes the station at 12:20 A.M. If train B passes the station at 12:35 A.M., at what time will train B catch up to train A?
Answer by lwsshak3(11628) About Me  (Show Source):
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Trains A & 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 48 miles per hour. Train A passes the station at 12:20 A.M. If train B passes the station at 12:35 A.M., at what time will train B catch up to train A?
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let x=travel time of train A in hrs
(x-15/60)=(x-1/4)=travel time of train B in hrs
Both trains must travel the same distance
Distance=speed*travel time
40x=48*(x-1/4)=48x-12
8x=12
x=1.5 hr
Ans:
Train B will catch up to train A in 1.5 hrs at 1:50 A.M.