Question

Flying against the wind, an airplane travels 6060 kilometers in 6 hours, Flying with the wind, the same plane travels 12,150 kilometers in 9 hours. What is the rate of the plane in still air and what is the rate of the wind?​

Answer 1

Let s be the plane's speed in still air and w the wind speed. Then

s - w = (6060 km)/(6 h) = 1010 km/h

s + w = (12,150 km)/(9 h) = 1350 km/h

Adding these equations together eliminates w and lets you solve for s :

(s - w) + (s + w) = 1010 km/h + 1350 km/h

2s = 2360 km/h

s = 1180 km/h