Question

A plane has a cruising speed of 100 miles per hour when there is no wind. At this speed, the plane flew 600 miles with the wind in the same amount of time it flew 400 miles against the wind. Find the speed of the wind.

Answer 1

since time = distance/speed, if the wind has speed w,

600/(100+w) = 400/(100-w)

Now just find w.

Answer 2

1.5