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March 28, 2017

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I need help with a word problem. Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 miles per hour and train B is traveling at 70 miles per hour.Train A passes a station at 6:10 A.M. If train B passes the station at 6:22 A.M., what time will train B catch up to train A?

  • algebra - ,

    The key thing is that when B catches A, they will have both traveled the same distance from the station, except A would have taken 12 minutes or 1/5 hour longer.
    let the time taken by A be t hours, and the time taken by B be t-1/5 hours

    so 60t = 70(t-1/5)
    60t = 70t - 14
    t = 1.4 or 1 hour 24 minutes after A left the station, which would make it
    7:34

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