# With a head wind, a plane traveled 1000 miles in 4 hours. With the same wind as a tail wind, the return trip took 3 hours and 20 minutes. How do you find the speed of the plane and the wind?

##### 1 Answer

Speed of the plane

#### Explanation:

Suppose that the **speed of the plane** is

and that of the **wind,**

During the trip of **head wind,**

as the wind **opposes** the motion of the plane, and as such, the

**effective speed** of the plane becomes

Now,

On the similar lines, we get,

Note that,

Then, from

Speed of the plane

**Enjoy Maths.!**