Question

If a plane can travel 576 miles with the wind in 3 hours and against the wind in 6 hours how fast is the speed of the wind?

Answer 1

Speed of wind is `48` miles /hour.

Explanation:

Let the speed of plane and wind be `P and W` miles/hour

respectively. Then , speed of plane with wind be `P+W`

miles/ hour `:. P+W= 576/3 or P+W= 192; (1)` miles/hour.

The speed of plane against wind be `P-W`

miles/ hour `:. P-W= 576/6 or P-W= 96; (2)` miles/hour.

Adding equation (1) and (2) we get `2P=288 or P=144`.

Putting `P=144` in equation (1) we get `W=192-144` or

`W=48`miles /hour .

Hence speed of wind is `48`miles /hour [Ans]