Question

With a tail wind, a small plane can fly 600 miles in 5 hours. Against the same wind, the plane can fly the same distance in 6 hours. How do you find the average wind speed and the average airspeed of the plane?

Answer 1

I got `20"mi"/h` and `100"mi"/h`

Explanation:

Call the wind speed `w` and the airspeed `a`.
We get:

`a+w=600/5=120"mi"/h`

and

`a-w=600/6=100"mi"/h`

from the first:

`a=120-w`

into the second:

`120-w-w=100`

`w=120-100=20"mi"/h`

and so:
`a=120-20=100"mi"/h`