SOLUTION: A pilot can travel 448 miles with the wind in the same amount of time as 368 miles against the wind. Find the speed of the wind if the pilot’s speed in still air is 255 miles per

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Question 1197742: A pilot can travel 448 miles with the wind in the same amount of time as 368 miles against the wind. Find the speed of the wind if the pilot’s speed in still air is 255 miles per hour.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
             SPEED       TIME            DISTANCE

WITH          255+w      448/(w+255)        448

AGAINST       255-w      368/(-w+255)       368

Description means 448%2F%28w%2B255%29=368%2F%28-w%2B255%29.
Simplify and solve.

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
A pilot can travel 448 miles with the wind in the same amount of time as 368 miles against the wind.
Find the speed of the wind if the pilot’s speed in still air is 255 miles per hour.
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Write the "time" equation, saying that travel times are the same in both trips


    448%2F%28255%2Bx%29 = 368%2F%28255-x%29


    448*(255-x)) = 368*(255+x)


Now simplify it step by step, until you find x, the rate of the wind.

At this point, you have all necessary instructions to complete this simple job on your own.