Question

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

Answer 1

9514 1404 393

Answer:

21 miles per hour

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.