A plane has a cruising speed of 150 miles per hour when there is no wind. At this speed, the plane flew 300 miles with the wind in the same amount of time it flew 200 miles against the wind. Find the speed of the wind.

Speed of the wind = 30 mi\hr

Explanation:

Let x be the speed of the wind

Given:

Speed of the plane without air

Speed of the plane with air

Speed of the plane against air

Plane flew with the wind

Plane flew against the wind

We need to find the speed of the wind.

Solution:

Using speed formula as given below.

-----------(1)

Speed of the plane with air,

Substitute , and in equation 1.

Similarly, speed of the plane against air

Now, we substitute distance , speed and in equation 1.

Now, we divide equation 2 by equation 3.

t and t cancelled.

Applying cross multiplication rule.

x = 30 mi\hr

Therefore, the speed of the wind is 30 miles per hour.