SOLUTION: A pilot can travel 363 miles with the wind in the same amount of time as 297 miles against the wind. Find the speed of the wind if the​ pilot's speed in still air is 190 mi

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Question 1155794: A pilot can travel
363 miles with the wind in the same amount of time as
297 miles against the wind. Find the speed of the wind if the​ pilot's speed in still air is
190 miles per hour.

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!
w, the speed of the wind

%28190%2Bw%29%2F363=%28190-w%29%2F297---------equating the times.
Solve for w.

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

A pilot can travel
363 miles with the wind in the same amount of time as
297 miles against the wind. Find the speed of the wind if the​ pilot's speed in still air is
190 miles per hour.
Let the wind-speed be W
Then we get the following TIME equation: matrix%281%2C3%2C+363%2F%28190+%2B+W%29%2C+%22=%22%2C+297%2F%28190+-+W%29%29
-------- Reducing the fractions by factoring out numerator, GCF, 33
11(190 - W) = 9(190 + W) ------ Cross-multiplying
11(190) - 11W = 9(190) + 9W
11(190) - 9(190) = 9W + 11W
2(190) = 20W