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3 November, 06:05

A plane flies 720 miles with the wind in 3 hours. The return trip against the wind takes 4 hours. What is the speed of the wind and the speed of the plane in still air?

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  1. 3 November, 09:30
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    Let p and w represent the speed of the plane and the speed of the wind, respectively.

    ... speed = distance/time

    ... p + w = 720/3 = 240

    ... p - w = 720/4 = 180

    Add the two equations to eliminate w.

    ... 2p = 420

    ... p = 210

    ... w = p - 180 = 30

    The speed of the wind is 30 mph.

    The speed of the plane in still air is 210 mph.
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