SOLUTION: 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 60 miles per hour. Train A passes a sta
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Question 480953: 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 60 miles per hour. Train A passes a station at 3:10 A.M. If train B passes the same station at 3:22 A.M, at what time will train B catch up to train A?? Answer by lwsshak3(11628) (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 60 miles per hour. Train A passes a station at 3:10 A.M. If train B passes the same station at 3:22 A.M, at what time will train B catch up to train A?
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From the station, Train B must make up the 12 minutes he is behind Train A to catch up with Train A.
Both trains cover the same distance:
let x=distance both trains will have traveled when Train B catches up with Train A.
Travel time=distance/speed
Travel time of Train A-Travel time of Train B=12 minutes=12/60 hr
x/40-x/60=12/60
multiply by LCD:120
3x-2x=24
x=24 miles
Travel time of train B =24/60=2/5 hrs=24 min
ans:
Train B catches up with Train A at 3.22+24 min=3.46 A.M.
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