The hungry cat is trying to catch Kunjan the mouse. Kunjan is now on the 14th step and it can jump 2 steps at a time. The cat is on the third step. She can jump 3 steps at a time. If the mouse reaches 28 it can hide in the hole. Find out whether the mouse can get a way safely!

(a) The steps on which the mouse jumps ―

(b) The steps on which the cat jumps ―
______________
(c) The steps on which both the cat and the mouse jump ―

(d) Can the mouse get away?

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

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Solution

(a) The steps on which the mouse jumps ― 16, 18, 20, 22, 24, 26, 28

(b) The steps on which the cat jumps ― 6, 9, 12, 15, 18, 21, 24, 27

(c) The steps on which both the cat and the mouse jump ― 18 and 24

(d) Yes, the mouse can get away.

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

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