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Math

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An eastbound train and a westbound train meet each other on parallel tracks heading in opposite directions. The eastbound train travels 12 miles per hour faster than the westbound train. After 1.5 hours, they are 174 miles apart. At what speeds are the two trains traveling?

  • Math -

    speed of westbound train -- x mph
    speed of eastbound train -- x+12

    1.5x + 1.5(x+12) = 174
    1.5x + 1.5x + 18 = 174
    3x = 156
    x = 52

    westbound train --- 52 mph
    eastbound train ---- 64 mph

    check"
    1.5(52) = 78
    1.5(64) = 96
    78+96 = 174

    answer is correct.

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