An airplane makes a 990 km flight with a tailwind and returns, flying into the same wind.

Question

An airplane makes a 990 km flight with a tailwind and returns, flying into the same wind.The total flying time is 3 hrs 20 mins and the airplanes speed in still air is 600 km/h what is the speed of the wind?

What have you tried? You must have tried something since you thought to tag the question "quadratics". Please explain that. Where do you get stuck? — hmakholm left over Monica, Sep 28 '12 at 14:11

score 1 · Answer 1 · answered Sep 28 '12 at 14:26

1

Suppose the speed of the wind is $x$ km/hr. Then the airplane speeds during upwind and downwind are $600+x$ and $600-x$, respectively. Then $$ \frac{990}{600+x} + \frac{990}{600-x} = 3\frac{1}{3}$$

Solve it and you will have $x = 60$ km/hr.

answered Sep 28 '12 at 14:26

JACKY88

3,603

An airplane makes a 990 km flight with a tailwind and returns, flying into the same wind.

1 Answers1