A man flies a small airplane from Fargo to Bismarck, North Dakota—distance 180

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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 h 15 min. 

speed in still air     

mphwind speed     mph

Apr 21st, 2015

The speed of the airplane flying against the wind is 180/2 = 90 mph;

the speed of the airplane flying with the wind is 180/1.25 = 144 mph.

If the speed in still air is u and the wind speed is v, then u + v = 144; u - v = 90.

u = (144+90)/2 =117 mph and v = (144 - 90)/2 = 27 mph.

The speed of the airplane in still air is 117 mph and the speed of the wind is 27 mph.

Apr 21st, 2015

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