Question

If a plane calf travel 470 miles per hour with the wind and 390 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air.

Answer 1

To find the speed of the wind and the speed of the plane in still air, set up a system of equations using the given information. Solve the equations to find the speed of the plane in still air and the speed of the wind.

Step-by-step explanation:

To find the speed of the wind and the speed of the plane in still air, we can set up a system of equations using the given information. Let's assume that the speed of the plane in still air is represented by 'p' and the speed of the wind is represented by 'w'.

When the plane is flying with the wind, its speed is 'p + w' and when it is flying against the wind, its speed is 'p - w'.

From the given information, we can set up the following equations:

1. p + w = 470
2. p - w = 390

Solving these equations simultaneously, we can find that the speed of the plane in still air is 430 mph and the speed of the wind is 40 mph.