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 t

Question

2 years ago

11

he speed of the wind if the pilot's speed in still air is 329 miles per hour

1 answer:

Law Incorporation [45] · Answer 1 · 2022-10-18T15:55:58+03:00

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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.