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

Algebra ->  Rational-functions -> 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      Log On


   

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) About Me  (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


    400%2F%28235%2Bx%29 = 352%2F%28235-x%29.


Cross multiply


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


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

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

    x = %28400%2A235+-+352%2A235%29%2F%28352%2B400%29 = 15 miles per hour.


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

Solved.