A water tank has steps inside it. A monkey is sitting on the topmost step (i.e., the first step). The water level is at the ninth step.

He jumps 3 steps down and then jumps back 2 steps up. In how many jumps will he reach the water level?

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Solution

Starting from first,
After 1st jump, the monkey will be at step number 4.
After 2nd jump, the monkey will be at step number 2.
After 3rd jump, the monkey will be at step number 5.
Similarly after 5th jump, the monkey will be at step number 6.
After 7th jump, the monkey will be at step number 7.
After 9th jump, the monkey will be at step number (5 + 3) = 8.
After 10th jump, the monkey will be at step number (8 + (-2)) = 6.
After 11th jump, the monkey will be at step number (6 + 3) = 9.
Clearly, the monkey will be at water level (i.e., $9^{t h} s t e p$ ) after 11 jumps.

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

A water tank has steps inside it. A monkey is sitting on the topmost step (i.e., the first step). The water level is at the ninth step.

He jumps 3 steps down and then jumps back 2 steps up. In how many jumps will he reach the water level?