Question

Flying against the wind a jet travels 3200 miles in four hours flying with the wind the same jet travels 9440 miles in eight hours what is the rate of the jet in still air and what is the rate of the wind

Answer 1

Answer: The plane is flying at 990 miles per hour and the wind is blowing at 190 miles per hour.

Step-by-step explanation: 1. Start by setting up the equations.

3200 = 4(x-y)

9440 = 8(x+y)

2. Simplify them by dividing the first one by 4 and the second one by 8. This gives you:

800 = x-y

1180 = x+7

3. Adding these equations together, you get

1980 = 2x.

4. Then divide, and x, the plane's speed, is 990 mph.

5. Replace x with 990 in one of the above equations and you get y of 190 mph for the wind speed.