The circumference of the front wheel of the carriage is 3 m, and the rear wheel is 4.5 m. Determine the distance

The circumference of the front wheel of the carriage is 3 m, and the rear wheel is 4.5 m. Determine the distance (in meters) that the carriage traveled if the front wheel made 40 revolutions more than the rear.

Let the rear wheel rotate x
Then x + 40 revolutions the front wheel
It is known that the circumference of the front wheel of the carriage is 3 m, and the rear wheel is 4.5 m
1) Make up the equation:
4.5x = 3 (x + 40)
4.5x = 3x + 120
1.5x = 120
x = 120: 1.5
x = 80 (o) – made the rear wheel
2) Find the distance by the formula
3 (x + 40) = 3 (80 + 40) = 3 • 120 = 360 (m) -the carriage has passed
Answer: the carriage traveled 360 meters