Question

An aircraft flew 5 hours with the wind. The return trip took 6 hours against the wind. If the speed of the plane in still air is 250 miles per hour more than the speed of the​ wind, find the wind speed and the speed of the plane in still air.

Answer 1

wind: 25 mph

airplane in still air: 275 mph

Explanation:

Given the wind speed is x (mph), the speed of airplane is 250 + x (mph)

The trip with the wind is (250 + x) + x

The trip against the wind is (250 + x) - x

so the trip is

5(250 + x + x) = 6(250 + x - x)

1250 + 10x = 1500

10x = 250

x = 250/10 = 25

speed of air plane in still air is 250 + 25= 275