Question

3) Flying with the wind a plane went 359 km/h. Flying into the same wind the plane only went 337

km/h. Find the speed of the plane in still air and the speed of the wind.

Answer 1

Answer: Let's call the speed of the plane in still air "p" and the speed of the wind "w".

When flying with the wind, the plane's speed is increased by the wind speed, so the equation is:

359 = p + w

When flying against the wind, the plane's speed is decreased by the wind speed, so the equation is:

337 = p - w

We can add these two equations to eliminate "p":

696 = 2p

So,

p = 348

Now that we know the speed of the plane in still air, we can use either equation to find the speed of the wind:

w = 359 - p = 359 - 348 = 11 km/h.

So, the speed of the plane in still air is 348 km/h and the speed of the wind is 11 km/h.

Explanation: