Against the wind a small plane flew 245 miles in 1 hour and 10 minutes. the return trip took only 50 minutes. what was the speed of the wind? what was the speed of the plane in still air?

speed of plane in still air  =  252 mph

speed of wind  = 42 mph.

Explanation:

Given:

Distance travelled by the small plane = 245  

Time taken to fly 245 miles =  1 hour and 10 minutes.

Time taken for return trip = 50 minutes.

To Find:

speed of the wind=?

The speed of the plane in still air=?

Solution:

We Know that

=>

=>

=>

=>210  mph against wind

on way back

=>

=>

=>

=> 294

Now

294 = plane +wind------------------------(1)

210 =plane - wind-------------------------(2)

Solving (1) and (2)

2 plane = 504

plane = 252

plane =

So  substituting plane value in eq(2) we get,

210 =252 - wind

wind = 42 mph