SOLUTION: pilot can travel 400 miles with the wind in the same amount of time as 352 miles against the wind. Find the speed of the wind if the​ pilot's speed in still air is 235 miles per

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Question 1145672: pilot can travel 400 miles with the wind in the same amount of time as 352 miles against the wind. Find the speed of the wind if the​ pilot's speed in still air is 235 miles per hour.
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.

If x is the speed of the wind, 

then  the speed of the plane with   the wind is  (235+x) mph,

while the speed              against the wind is (235-x) mph.



The "time" equation is


     = .


Cross multiply


    400*(235-x) = 352*(235+x).


    400*235 - 400x = 352*235 + 352x

    400*235 - 352*235 = 352x + 400x

    x =  = 15 miles per hour.


ANSWER.  The speed of the wind is 15 miles per hour.

Solved.


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