The circumference of the small hoop is 3 m, and the large one is 4 m. At the same distance, a small hoop makes 10 more

The circumference of the small hoop is 3 m, and the large one is 4 m. At the same distance, a small hoop makes 10 more revolutions than a large one. Determine this distance.

Let the 4 meter hoop make x turns
Then x + 10 makes the hoop 3 meters
It is known that at the same distance a small hoop makes 10 more revolutions than a large one
1) Make up the equation:
4x = 3 (x + 10)
4x = 3x + 30
x = 30 (o) -to make a hoop 4 meters
2) 30 • 4 = 120 (m)
Answer: 120 meters