SOLUTION: Flying with a tailwind, a pilot flew an airplane 450 miles in 2.5 hours. Flying into a headwind, the return trip took 3 hours. Find the speed of the plane in calm air and the spee

Question 279584: Flying with a tailwind, a pilot flew an airplane 450 miles in 2.5 hours. Flying into a headwind, the return trip took 3 hours. Find the speed of the plane in calm air and the speed of the wind. What is the speed of the plan and what is the speed of the wind.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Flying with a tailwind, a pilot flew an airplane 450 miles in 2.5 hours. Flying into a headwind, the return trip took 3 hours. Find the speed of the plane in calm air and the speed of the wind. What is the speed of the plan and what is the speed of the wind.
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With Wind:
distance = 450 miles ; time = 2.5 hrs ; rate = 450/2.5 = 180 mph
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Against Wind:
distance = 450 miles ; time = 3 hrs ; rate = 150 mph
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p + w =180
p - w = 150
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2p = 330
p = 165 mph (speed of the plane in still air)
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Since p+w = 180, w = 15 mph (speed of the wind)
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Cheers,
Stan H.
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