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10 December, 07:28

A plane traveled 972 miles to Berlin and back. The trip there was with the wind. It took 9 hours. The trip back was into the wind. The trip back took 18 hours. Find the speed of the plane in still air and the speed of the wind

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  1. 10 December, 08:43
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    With the wind, the plane's speed was (972 mi) / (9 h) = 108 mi/h.

    Against the wind, the plane's speed was (972 mi) / (18 h) = 54 mi/h.

    The speed of the plane in still air is the average of these speeds, 81 mi/h.

    The speed of the wind is half the difference of the trip speeds, 27 mi/h.
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