SOLUTION: It took the pilot a hour and a half to make a flight of 240 miles when flying against the wind. If the return trip took an hour and 12 minutes, what was the speed of the wind?

Question 90372: It took the pilot a hour and a half to make a flight of 240 miles when flying against the wind. If the return trip took an hour and 12 minutes, what was the speed of the wind?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
It took the pilot a hour and a half to make a flight of 240 miles when flying against the wind. If the return trip took an hour and 12 minutes, what was the speed of the wind?
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Against the wind DATA:
Time = 1.5 hrs ; distance = 240 miles; rate = d/t = 240/1.5 = 160 mph
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With the wind DATA:
Time = 1.2 hrs ; distance = 240; rate = d/t = 240/1.2 = 200 mph
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Let speed of plane in calm air be p; Let speed of wind be w.
EQUATIONS:
p+w = 200
p-w = 160
Adding you get 2p=360
p = 180 (speed of plane in still air)
180 + w = 200
w = 20 (speed of the wind)
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Cheers,
Stan H.

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