Question

A plane travelled 828 miles each way to Las Vegas and back. The trip there was in the wind. It

took 9 hours. The trip back was into the wind. The trip back took 18 hours. Find the speed of the
plane in still air and the speed of the wind.

Answer 1

To find the speed of the plane in still air and the speed of the wind, set up equations based on the distances traveled and the time taken, and solve them simultaneously.

Step-by-step explanation:

To find the speed of the plane in still air and the speed of the wind, we can use the concept of relative velocity.

Let's denote the speed of the plane in still air as P and the speed of the wind as W.

From the given information, we know that the plane traveled 828 miles each way. The trip there took 9 hours, and the trip back took 18 hours.

We can set up two equations based on the distances traveled and the time taken:

1. 828 = (P + W) * 9
2. 828 = (P - W) * 18

Now, we can solve these equations simultaneously to find the values of P and W.