A cat found a mouse running in front of it at a distance of 10, and the cat ran after it. The cat has a big step. It runs five steps and the mouse runs nine steps. But the mouse moves quickly. A cat can run two steps, and a mouse can run three steps.

Excuse me: Can the cat catch up with the mouse at this speed? If so, how many steps will it take to catch up?

Answer: you can catch up.

The ratio of the length of each step between cat and mouse is 9: 5.

Meanwhile, their step ratio is 2: 3.

Then their speed ratio is 18: 15.

Cats are faster than mice. If the cat catches up with the mouse after step X, there are:

Equation10/(18-15) = x/18.

Get x = 60.

That is, the cat catches up with the mouse 60 steps.