SOLUTION: In the time it takes a pilot to fly 360 miles with a head wind, she can only fly 240 against the wind. If the speed of the plane in still air is 150 mph, find the wind speed.

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Question 362222: In the time it takes a pilot to fly 360 miles with a head wind, she can only fly 240 against the wind. If the speed of the plane in still air is 150 mph, find the wind speed.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let w = windspeed.
360%2F%28150%2Bw%29+=+240%2F%28150-w%29,
3%2F%28150%2Bw%29+=+2%2F%28150-w%29, after dividing both sides by 120.
450-3w+=+300%2B2w,
150+=+5w,
w+=+30 miles per hour, the speed of the wind.