Question

A plane traveled 1012 km each way to Rome and back the trip was with wind it took 11 hours the trip back with into wind it took 22 hours back what is the speed of the plane in the air and what is the speed of the wind

Answer 1

Speed of the plane in still air: 69 km/h

Speed of the wind: 23 km/h

Explanation:

Let P be the speed of the plane in still air and W be the speed of the wind.

The trip with the wind took 11 hours, so the ground speed was 1012 km / 11 hours = 92 km/h.

The trip against the wind took 22 hours, so the ground speed was 1012 km / 22 hours = 46 km/h.

We can set up two equations to solve for P and W:

92 = P + W

46 = P - W

Adding the two equations together, we get:

138 = 2P

Therefore, the speed of the plane in still air is 69 km/h.

Subtracting the second equation from the first equation, we get:

46 = 2W

Therefore, the speed of the wind is 23 km/h.

So the answer is:

Speed of the plane in still air: 69 km/h

Speed of the wind: 23 km/h