A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1 hours. What is the plane's speed in still air, and how fast is the wind blowing?

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  1. Plane's speed --- x mph
    wind speed ----- y mph

    2(x-y) = 180
    x-y = 90

    1(x+y) = 180
    x+y = 180
    add them: 2x = 270
    x = 135

    back in x+y= 180
    y = 45

    state a proper conclusion.

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