A single engine aircraft can fly 120 mph in still air. If the aircraft can fly 490 miles flying with the wind in the same amount time it can fly 350 miles when flying against the wind, what is the speed of the wind? I can't figure out how to set up the equation.

1 answer

d = (120+V)T = 490 mi.
Eq1: 120T + VT = 490.
Eq2: 120T - VT = 350.
Sum: 240T = 840.
T = 3.5 h.

In Eq1, replace T with 3.5 and solve for
V.