An airplane flying with the wind takes 8 hours to travel a distance of 960 miles.

Question

An airplane flying with the wind takes 8 hours to travel a distance of 960 miles.

The return trip takes 10 hours flying against the wind.

What is the speed of the airplane in still air and how fast is the wind blowing?

Answer 1

8(f+w) = 960

f+w = 120

10(f-w) = 960

f-w = 96

2f = 216

f = 108 mph for the plane in still air

w = f-96= 108-96 = 12 mph = wind speed

108+12 = 120 x 8 = 960

108-12 = 96 x 10 = 960