What is the speed of the airplane in still air in the following case:An airplane covers a distance of 1,500 miles in 3 hours when it flies with the...

Given that the speed of the plane with the wind = 1500/3
hours.

==> The speed = 1500/3 = 500
mph.

Let (s) be the apeed of the plane in still
air.

Letthe speed of the wind be
(sw).

==> 500 = s +
sw...............(1)

Also, we are given that the speed
against the wind = 1500/(3 1/3).

==> 1500/ (10/3) =
1500*3/10 = 450 mph.

==> 450 = s -
sw..................(2)

Now we will add equation (1) and
(2);

==> 2s =
950

==> s = 950/2 =
475.

Then, the speed of the plane in still
air is 475 mph.