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7.6.35 Question Help A 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 329 miles per hour

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sqdancefan

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Answer:

  21 miles per hour

Step-by-step explanation:

Let w represent the wind speed. Then the travel time is ...

  400/(329 +w) = 352/(329 -w)

  400(329 -w) = 352(329 +w)

  (352+400)w = 329(400 -352)

  w = (400 -352)/(400 +352)·329 = 48/752·329 = 21

The wind speed is 21 miles per hour.

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