Question

35. A pilot can travel 400 miles with the win

amount of time as 336 miles against the wind. Find
of the wind if the pilot's speed in still air is 230 mi
hour.
the wind in the same
ind. Find the speed
is 230 miles per

Answer 1

The wind speed is 20 miles per hour.

Explanation:

Speed = distance/time.

With the wind

230 + w = 400 / t where w is the speed of the wind.

Against the wind:

230 - w = 336/t

From the above equations:

t = 400/ (230 + w)

t = 336/ (230 - w) So:

400/ (230 + w) = 336/ (230 - w)

336(230 + w) = 400(230 - w)

77280 + 336w = 92000 - 400w

736w = 92000 - 77280 = 14720

w = 14720 / 736

w = 20.