Algebra

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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 64 miles per hour. train a passes a station at 1:25 pm. if train b passes the same station at 1:55 pm, at what time will train b catch up to train a?

  • Algebra -

    Let the time from 1:55 to when they meet be t hours
    so when they meet:
    train a has gone 30 + 60t miles
    train b has gone 64t miles

    64t = 30 + 60t
    t = 15/2 or 7.5 hours = 7hours, 30 minutes

    so the meet at 1:55 + 7:30 = 9:25 pm

    check: first train went from 1:25 to 9:25 or 8 hours
    distance = 8(60) = 480 miles
    second train from 1:55 to 9:25 = 7.5 hours
    distance - 7.5(64) = 480 miles

    Yeahhh!

  • Algebra -

    -9f + 7f - 17

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