SOLUTION: 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?

Question 265887: 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?
Answer by vksarvepalli(154) (Show Source): You can put this solution on YOUR website!
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
RELATED QUESTIONS
The speed of a plane in still air is 132 km/h. Flying with the wind, the plane traveled... (answered by josgarithmetic,MathTherapy)

A plane's air speed is 450 km/h, With a tail wind , the plane traveled 1050 km/h. On the... (answered by solver91311)

Flying with the wind, a plane traveled 510 miles in 3 hours. Flying against the wind, the (answered by josmiceli)

Flying with the wind a plane went 183 km/h. Flying into the same wind the plane only went (answered by TimothyLamb)

Flying to Berlin with a tailwind, a plane averages 174 km/h. On the return trip, the... (answered by ikleyn)

Flying with the wind, a plane flew 1500 mi in 5 h. Against the wind, the plane required 6 (answered by richwmiller)

Flying with the wind, a plane flew 1200 mi in 5 h. Against the wind, the plane required 6 (answered by ikleyn)

Flying with the wind, a plane flew 1200 mi in 4 h. Against the wind, the plane required 5 (answered by josgarithmetic)

With a head wind, a plane traveled 1000 mi in 4 h. With the same wind as a tail wind, the (answered by checkley75)