SOLUTION: A pilot can travel 396 miles with the same amount of time as 324 miles against the wind. Find the speed of the wind if the pilot's speed in still air is 170 miles per hour.
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Question 1022590: A pilot can travel 396 miles with the same amount of time as 324 miles against the wind. Find the speed of the wind if the pilot's speed in still air is 170 miles per hour. Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website! Call the rate of the wind, w.
Since rate times time equals distance, we can write
396 = (170+w)t and
324 = (170-w)t
Now solve for t and set them equal...we get
Then cross multiply and solve for w...
396(170-w) = 324(170+w)
67320 - 396w = 55080 + 324w
12240 = 720w
w = 17 mph
