Problem
at full speed, hal travels 600 miles in 2 hours
with the wind. the same distance against
the wind takes 3 hours.
what's the maximum speed of hal's airplane
in still air? what's the speed of the wind?

The maximum speed of Hal's airplane in still air is:

The speed of the wind

Step-by-step explanation:

Remember that the velocity v equals the distance d between time t.

 and

The distance that Hal travels when traveling with the wind is:

miles

Where v is the speed of Hal and c is the wind speed.

The distance when traveling against the wind is:

miles

Now we solve the first equation for v

Now we substitute the value of v in the second equation and solve for c

Then:

The maximum speed of Hal's airplane in still air is:

The speed of the wind

-5, your answer was correct