An airplane travels 1,800 miles from Los Angeles to Chicago in 3.6 hours, going with the wind. The return trip takes 4 hours and is against the wind. Find the rate of the airplane with no wind. Find the rate of the wind.

The "rate" at which something travels can be referred to as velocity.

V = displacement / time

So going with the wind, Vp + Vw = 1800 / 3.6 = 500 mph

Going against the wind, Vp - Vw = 1800 / 4 = 450 mph

Vp = 500 - Vw

Vp = 450 + Vw

500 - Vw = 450 + Vw

2Vw = 50

Vw = 25 mph

Vp = 475 mph