SOLUTION: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 80 mph and train B is traveling at 90 mph. Train A passes a station at 11:25 pm. If t

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Question 371920: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 80 mph and train B is traveling at 90 mph. Train A passes a station at 11:25 pm. If train B passes the same station at 11:37pm, at what time will train B catch up to train A?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Train A has a 12 minute head start or 12%2F60=1%2F5 hr head start.
In that time, Train A has traveled,
D=80%281%2F5%29=16miles
The distance from the station for Train A is then,
D%5BA%5D=16%2B80t
The distance from the station for Train B is,
D%5BB%5D=90t
Find t when D%5BA%5D=D%5BB%5D
16%2B80t=90t
10t=16
t=8%2F5 hrs
t=%288%2F5%29%2860%29=96 minutes
So 96 minutes from 11:37 pm would be 01:13am.