Flying against the wind, a jet travels 2340 miles in 3 hours. Flying with the wind, the same jet travels 8960 miles in 7 hours. What is the rate of the jet in still air and what is the rate of the wind?

2 answers

If the plane's speed is p
and the wind's speed is w,
then since distance = speed * time,
3(p-w) = 2340
7(p+w) = 8960
Now just solve for p and w.
Vp - Vw = 2340/3 = 780 mi/h.
Vp + Vw = 8960/7 = 1280 mi/h.

Vp + Vw = 1280.
Vp - Vw = 780
Solve for Vw and Vp.