Aplane flies at x miles per hour in still air. flying with a tailwind, it's speed is 485 miles per hour. against the wind, it's air speed is only 445 miles per hour. what is the speed of the wind

the speed of the wind is 20 miles per hour.

Step-by-step explanation:

A Plane flies at x miles per hour in still air. This means that the normal speed of the plane is x miles per hour.

Let y represent the speed of the wind.

Flying with a tailwind, it's speed is 485 miles per hour. This means that

the total speed of the plane would be x + y. Therefore

x + y = 485 - - - - - - - - 1

Against the wind, it's air speed is only 445 miles per hour. This means that

the total speed of the plane would be x - y. Therefore

x - y = 445 - - - - - - - - - 2

Adding equation 1 and equation 2, it becomes

2x = 930

x = 930/2 = 465

Substituting x = 465 into equation 1, it becomes

465 + y = 485

y = 485 - 465

y = 20 miles per hour