Hi,

 t =D/r, time the same

  ||| Cross Multiply to solve for v 

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
 A plane flies 500 miles with the wind and 340 miles against the wind in the same length of time. If the speed of the wind is 20 mph, what is the speed of the plane in still air?

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With wind DATA:

dist = 500 miles; rate = p+20 mph ; time = 500/(p+20) hrs

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Against wind DATA:

dist = 340 miles ; time = p-20 mph ; time = 340/(p-20) hrs

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Equation:

time = time

500/(p+20) = 340/(p-20)

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500p - 10000 = 340p + 6800

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160p = 16800

p = 105 mph (speed of the plane in still air)

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Cheers,

Stan H.

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