Question 925023: an airplane can fly 650 miles with the wind in the same amount of time as it can fly 475 miles against the wind. if the wind speed is 40 mph find the speed of the plane in still air
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! x = speed of airplane in still air
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s = d/t
t = d/s
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with the wind:
t = 650/(x + 40)
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against the wind:
t = 475/(x - 40)
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650/(x + 40) = 475/(x - 40)
650(x - 40) = 475(x + 40)
650x - 650*40 = 475x + 475*40
175x = 475*40 + 650*40
175x = 45000
x = 45000/175
x = 257.142857143
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answer:
x = speed of airplane in still air = 257.143 mph
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check:
650/(257.142857143 + 40) = 2.1875 hours
475/(257.142857143 - 40) = 2.1875 hours
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