Answer:
Rate of plane in still air: 770.5 km/hr
Rate of wind: 239.5 km/hr
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.