Question

molly drove 150 miles in the same amount of time that it took a single engine plane to travel 600 miles. the speed of the plane was 150 mph faster than the speed of the car. find the speed of the plane.

Answer 1

The speed of the plane is 200 mph

Explanation:

distance = rate x time

The times are equal.

Car:

150 = rt

`(150)/(r)` = t

Plane:

600 = (r+ 150)t

`(600)/((r+ 150))` = t

Set the two equation equal to each other and solve for r:

`(150)/(r)` =
`(600)/((r+150))` Multiple both sides by r(r+ 150) to clear the fraction

`(r(r+150))/(1)` (
`(150)/(r)`) =
`(r(r + 150))/(1 )` (
`(600)/((r+ 150))`)

(r+150)(150) = 600r

150r + 22500 = 600r Subtract 150r from both sides

22500 = 450r Divide both sides by 450

50 = r This is the rate of the car.

The plane is 50 + 150 = 200