Flying with the wind, a plane traveled 570 miles in 3 hours. Flying against the wind, the plane traveled the same distance in 5 hours. Find the rate of the plane in calm air and the rate of the wind.

Rate of plane ______mph
Rate of wind ________mph

1 answer

Eq1: Vp + Vw = 570/3 = 190
Eq2: Vp - Vw = 570/5 = 114
Sum: 2Vp = 304
Vp = 152 mi/h
In Eq1, replace Vp with 152:
152 + Vw = 190
Vw = 38 mi/h.