A pilot can travel 540 miles with the wind in the same amount of time as 380 miles against the wind. Find the speed of the wind if the​ pilot's speed in still air is 230 miles per hour.

Answer 1

So, if I row 5 mph in a 3 mph stream, I go 8 mph downstream and 2 mph upstream. Make sense?

d = rt, so t = d/r, and the times are the same.

540/(230 + w) = 380/(230 - w)

Cross multiply!

540(230 - w) = 380(230 + w)

Solve for w for your answer. Go!