The air speed of a plane was 132 kmh Flying with the wind th

The air speed of a plane was 132 km/h. Flying with the wind, the plane traveled twice the distance in 5 h as it traveled against the wind in 3 h. What was the wind speed?

Solution

let the speed of the wind be w km/h. when flying with the wind the net speed will be (132+w) km/h and when flying against the wind the net speed will be (132-w) km/h now given, flying with the wind,the plane traveled twice the distance in 5 h as it traveled against the wind in 3 h. distance traveled in 5 h flying with the wind = 5(132+w) distance traveled in 3 h flying against the wind = 3(132-w) so 5(132+w) = 2*3(132-w) 5*132 + 5w = 6*132 - 6w so 11w = 132 so w=132/11 so w=12 km/h so the wind speed is 12 km/h