A jet aircraft can average 160 miles per hour in calm air. On a trip, the aircraft traveled 600 miles with a tailwind and returned the 600 miles against a headwind of the same speed. If the total round trip took 8 hours, what was the speed of the wind?

Guest Feb 1, 2020

#1**0 **

Let the time it took it to fly with the wind =T

Let the time it took to fly against the wind =8 - T

[600/T + 600/(8 - T)] / 2 = 160, solve for T

T = 3 hours - spent flying with the wind

600 / 3 = 200 mph - its speed with the wind.

600/(8-3)=120 mph - its speed against the wind.

**[200 - 120] / 2 = 40 mph - the speed of the wind.**

Guest Feb 1, 2020