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trains A and B are traveling in the same direction on paraleel tracks. Train A is traveling at 80 miles per hour and train B is traveling at 88 miles per hour. Train a passes a station at 5:10 P.M. If train B passes the same station at 5:40 P.M., at what time will train B catch up to train A?

  • algebra -

    Consider t=0 when train A passes the station. After that, at some time t, the trains will be at the same distance. B travels 0.5 hour less than A.

    88(t-.5) = 80t
    88t - 44 = 80t
    8t = 44
    t = 5.5

    So, 5.5 hours after 5:10, the trains will have gone the same distance (440 miles) from the station.

    That is, at 10:40, B passes A.

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