Question 814679: A plane can fly at a rate of 150 miles per hour in calm air. Traveling with the wind, the plane flew 700 miles in the same amount of time it took to fly 500 miles against the wind. Find the rate of the wind.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! s = d / t
t = d / s
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p = 150 mph
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t = 700 / (p + w)
t = 500 / (p - w)
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700/(p + w) = 500/(p - w)
700/(p + w) - 500/(p - w) = 0
700(p - w)/(p + w)(p - w) - 500(p + w)/(p + w)(p - w) = 0
700(p - w)/(22500 - ww) - 500(p + w)/(22500 - ww) = 0
( 700(p - w) - 500(p + w) )/(22500 - ww) = 0
700(p - w) - 500(p + w) = 0(22500 - ww)
700p - 700w - 500p - 500w = 0
200p - 1200w = 0
30000 - 1200w = 0
30000 = 1200w
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w = 25 mph
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