Fyling against the wind, an airplane travels 4779 kilometers in 9 hours. flying the same wind, the sampe plane travels 6060 kilometers in 6 hours. what is the rate of the plane still in the air abd what is the rate if the winf?

Rate of plane in still air: 770.5 km/hr

Rate of wind: 239.5 km/hr

Step-by-step explanation:

Let x represent speed of plane in still air and w represent speed of wind.

Speed of plane with wind would be .

Speed of plane against wind would be .

We will use following formula to solve our given orblem.

We have been given that flying against the wind, an airplane travels 4779 kilometers in 9 hours. We can represent this information in an equation as:

     (Dividing by 9)

We are also told that flying with the wind, the same plane travels 6060 kilometers in 6 hours. We can represent this information in an equation as:

      (Dividing by 6)

Upon adding equation (1) and (2), we will get:

Therefore, the rate of the plane in still air is 770.5 kilometers per hour.

To find the rate of the wind, we will substitute in equation (1) as:

Therefore, the rate of the wind is 239.5 kilometers per hour.

arc length = radius * x ( in radians)

6 * pi = 18 * x

divide by 18 on each side

6 pi / 18 = x

pi/3 = x

the angle is pi / 3 radians

or   60 degrees