A plane can fly 540 miles in the same time as it takes a car to go 180miles. If the car travels 120 mph slower than the plane find the speed of the plane

150 mph

Explanation:

Let the rate of the plane be x. Distance traveled by plane=540 miles. Time taken by plane=540/x. Distance traveled by car=180 miles. Rate of car=x-180. Time taken by car=180 / x-120. The time taken by both are same

540/x=180/x-120

540 (x-120) = 180

540x-54000=180x

540x-180x=54000

360x=54000

x=54000/360

x=150 mph