You have the following data: A plane flying at its maximum speed can go 190 miles per hour with a tailwind or 150 miles per hour into a headwind.

Question

(a) What is the wind speed?

Answer 1

Vp + Vw = 190
Vp - Vw = 150
Subtract the Eqs:
0 + 2Vw = 40
Vw = 20 mi/h.

Alternate Method:
Vw = (Vmax-Vmin)/2=(190-150) / 2=20 mi/h