SOLUTION: A certain airplane flies 250 mph in still air. on a windy day, this plane flew 16 miles into the wind in the same amount of time that it flew 54 miles with a tailwind. Find the spe

Question 818293: A certain airplane flies 250 mph in still air. on a windy day, this plane flew 16 miles into the wind in the same amount of time that it flew 54 miles with a tailwind. Find the speed of the wind.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
s = 250
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s = d / t
t = d / s
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T = 16/(s - w)
T = 54/(s + w)
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T = 16/(250 - w)
T = 54/(250 + w)
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16/(250 - w) = 54/(250 + w)
16(250 + w)/(250 - w)(250 + w) - 54(250 - w)/(250 - w)(250 + w) = 0
16(250 + w) - 54(250 - w) = 0(250 - w)(250 + w)
16(250 + w) - 54(250 - w) = 0
4000 + 16w - 13500 + 54w = 0
70w = 9500
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w = 135.71429
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wind speed is 135.7 mph !
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