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Math

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Against the wind, a small palne flew 900 miles in 9 hours. The return trip took only 5 hours. What was the speed of the wind ?

  • Math - ,

    Vp- Vw = 900mi / 9h = 100mi/h.
    Vp + Vw = 900mi / 5h = 180mi/h.

    Eq1: Vp - Vw = 100.
    Eq2: Yp + Vw = 180.
    Multiply both sides of Eq1 by (-)1:
    -Vp + Vw = -100
    Vp + Vw = 180
    Sum: 2Vw = 80,
    Vw = 40mi/h.

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