Question

If the cat starts from the 5^th step and jumps five steps at a time and the mouse starts from the 8^th step and jumps four steps at a time, can the mouse get away?

Answer 1

Yes, the mouse can get away.

If the cat starts from the 5^th step and jumps 5 steps at a time, the cat will reach 10, 15, 20, and 25 steps. If the mouse starts from the 8^th step and jumps 4 steps at a time, the mouse will reach 12, 16, 20, and 24 steps.

So, the cat will easily be able to catch the mouse at step 20. This time, the mouse cannot get away.