SOLUTION: an airplane travels 800 miles against the wind in 5 hours, and makes the return trip with the same wind in 2 hours. Find the speed of the wind.

Question 348499: an airplane travels 800 miles against the wind in 5 hours, and makes the return trip with the same wind in 2 hours. Find the speed of the wind.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
an airplane travels 800 miles against the wind in 5 hours, and makes the return trip with the same wind in 2 hours. Find the speed of the wind.
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Against wind DATA:
distance = 600 miles ; time = 5 hrs. ; rate = 600/5 = 120 mph
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With wind DATA:
distance = 600 miles ; time = 2 hrs ; rate = 600/2 = 300 mph
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Equations:
p + w = 300
p - w = 120
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2p = 420
p = 210 mph (speed of the plane in still air)
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Since p+w = 300, w = 300-210 = 90 mph (speed of the wind)
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Cheers,
stan H.
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