Flying against the wind an airplane travels 2640 km in 4 hours finder with the wind the same plane travel 7700 km in 7 hours what is the rate of the plane in still air and what is the rate of the pain

Step-by-step explanation:

Let x represent the speed of the plane.

Let y represent the speed of the wind.

Flying Against the Wind an airplane travels 2640 km in 4 hours. This means that the total speed while flying against the wind will be x - y. Speed = distance/time. Therefore

x - y = 2640/4 = 660 - - - - - - -1

Assuming that in still air, the airplane moves in the same direction with the wind. Total speed in still air will be

x + y

Flying with the wind, the same plane travel 7700 km in 7 hours.

Speed = distance/time. Therefore

x + y = 7700/7 = 1100 - - - - - - - 2

Add equation 1 and equation 2. It becomes

2x = 660 + 1100 = 1760

x = 1760/2 = 880

y = 1100 - x

y = 1100 - 880 = 220

The speed of the plane in still air is 880 km/hour

The speed of the wind is 220 km/ hour

Rate of the plane in still air is 1100 km/hour

Rate of the plane against the wind is 880- 220 = 660 km/h