64.4k views
5 votes
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

1 Answer

1 vote

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.

User Arthur Tarasov
by
8.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories