# An airplane takes 7 hours to travel a distance of 4707km against the wind. The return trip takes 6 hours with the wind. What is the rate of the plane in still air and what is the rate of the wind?

##### 1 Answer

Jul 17, 2018

The speed of the airplane is

#### Explanation:

Let the speed of the airplane in still air be

Let the speed of the wind be

Thefore,

Then, the on going speed is

And the return journey is

Solving equations

The speed of the airplane is

And

The speed of the wind is