A water tank has steps inside it. A monkey is sitting on the top most step. (ie, the first step) The water level is at the ninth step.A. He jumps 3 steps down and then jumps back 2 steps up. In how...

Question

A water tank has steps inside it. A monkey is sitting on the top most step. (ie, the first step) The water level is at the ninth step.
A. He jumps 3 steps down and then jumps back 2 steps up. In how many jumps will he reach the water level?

B. After drinking water, he wants to go back. For this, he jumps 4 steps up and then jumps back 2 steps down in every move. In how many jumps will he reach back the top step?

Philoid · Accepted Answer

Let the steps moved down be represented by positive integers and the steps moved up be the negative integers.

A. First, the monkey is at = 1^st step

∴ The monkey will be at water level i.e. 9^th step after 11 jumps.

B. Now, the monkey is at = 9^th step

∴ The monkey will reach back at the top step after 5 jumps.