Algebra

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Two trans leave Chicago going opposite directions, one going north and the other going south. The northbound train is traveling 12 mph slower than the southbound train. After 4 hours the trains are 528 miles apart. Find the speed of each train. I would appreciated so much if anyone could give me directions on the question.

  • Algebra -

    RT = D (Rate x Time = Distance)
    R = rate of southbound train
    4 = time of southbound
    4R = distance of southbound train

    R - 12 = rate of northbound train
    4 = time of northbound
    4(R - 12) = distance of northbound train

    Since the sum of distances = 528
    4R + 4(R - 12) = 528
    Solve for R, rate of southbound train
    R - 12 = rate of northbound train

  • Algebra -

    Northbound train is traveling at 60 mph, the other 72.

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