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?

1 Answer
Mar 12, 2018

Answer:

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]