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
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