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March 24, 2017

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Flying with the wind, a small plane flew 360 miles in 2hours. Against the wind, the plane could fly only 300 miles in the same amount of time. Find the rate of the plane in calm air and the rate of the wind.
I cant figure out how to solve this. Please help me

  • Algebra - ,

    use the variables p for plane and w for wind and the equations:

    (p+w)x 2hours = 360 miles
    (p-w)x 2hours = 300 miles
    divide by 2

    p+w=180
    p-w=150
    combine the two equations so w cancels out

    2p = 330
    divide by 2 to get the speed of the plane.

    p=165
    put the plane back into the equation to get the rate of the wind

    165+w = 180
    w = 15m/h

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