Flying to England with a tailwind a plane averaged 158km/h one the return trip the plane only averaged 112 km/h while flying back in the same wind. Fund the speed of the wind and the plane still in the air.

the speed of the plane in still air is 135 km/h

the speed of the wind is 23 km/h

Step-by-step explanation:

Let x represent the speed of the plane in still air.

Let y represent the speed of the wind.

Flying to England with a tailwind a plane averaged 158km/h. This means that the total speed of the plane is (x + y) km/h. Therefore,

x + y = 158 - - - - - - - - - - - - - -1

On the return trip, the plane only averaged 112 km/h while flying back in the same wind. This means that the total speed of the plane is (x - y) km/h. Therefore,

x - y = 112 - - - - - - - - - - - - - -2

Adding equation 1 to equation 2, it becomes

2x = 270

x = 270/2 = 135 km/h

Substituting x = 135 into equation 2, it becomes

135 - y = 112

y = 135 - 112

y = 23 km/h

step-by-step explanation:

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