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algebra

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When Amy drives her car to work, the trip takes 1/2 hour. When she rides the bus, it takes 3/4 hour. The average speed of the bus is 12 mph less than her speed driving. Find the distance she travels to work.

  • algebra - ,

    X mi/h = Molly's speed.
    (X-12)mi/h = Bus's speed.
    Mary's distance and the bus's are equal:
    d1 = d2
    0.5*x = 0.75(x-12)
    Multiply both sides by 4:
    2x = 3x - 36
    2x - 3x = -36
    -x = 36
    X = 36 mi/h.
    d = V*t = 36 * 0.5 = 18 Mi.

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