A plane has a cruising speed of 100 miles per hour when there is no wind. At this speed, the plane flew 600 miles with the wind in the same amount of time it flew 400 miles against the wind. find the speed of the wind

The solution for this problem is:

Let x = speed of wind

Speed of plane with the wind = x + 100

Speed of plane against the wind = 100 - x

We will be using the formula for distance which is (Rate) (Time), getting the formula for time would be distance/rate Time to travel 600 miles with the wind = Time to travel 400 miles against the wind 600 / (x + 100) = 400 / (100 - x)

400 (x + 100) = 600 (100 - x)

400x + 40000 = 60000 - 600x

1000x = 20000

x = 20000/1000

x = 20 mph