13.303. Two wheels are connected by an infinite belt; the smaller one makes 300 more revolutions per minute than the second. The larger wheel makes 10 revolutions in a time interval that is 1 second longer than the time for the same number of revolutions of the smaller wheel. How many revolutions per minute does each wheel make?
## Solution.

Let $x$ be the number of revolutions of the larger wheel per minute. Then the smaller wheel makes $x+300$ revolutions. According to the condition, we have $\frac{10}{x}-\frac{1}{60}=\frac{10}{x+300}$, from which $x=300$.

Answer: 300 and 600.