a water tank has nine steps in it. a monkey sitting on the topmost step. the water level is at last step. the monkey jumps 3 steps down and then jumps back 2 steps up. in how many jumps will he reach the water level?
it will take him 8 steps to get to the water level
after 6 jumps, he has descended 6 steps
The 7th jump will take him to the 9th step.
11 steps
To answer this question, we need to keep track of the monkey's position after each jump. Let's go through the steps and track the monkey's movements:
1. Initially, the monkey is on the topmost step.
2. The monkey jumps 3 steps down, bringing it to the 6th step.
3. Then, the monkey jumps 2 steps up, bringing it to the 8th step.
4. The monkey jumps 3 steps down again, landing on the 5th step.
5. Next, the monkey jumps 2 steps up and reaches the 7th step.
6. The monkey jumps 3 steps down, landing on the 4th step.
7. Again, the monkey jumps 2 steps up to reach the 6th step.
8. The monkey jumps 3 steps down and lands on the 3rd step.
9. The monkey jumps 2 steps up and arrives at the 5th step.
10. Finally, the monkey jumps 3 steps down and reaches the water level on the 2nd step.
Therefore, the monkey will need a total of 10 jumps to reach the water level.
Explanation: By analyzing the monkey's movements step by step, we can determine how many jumps it will take for the monkey to reach the water level. Each time the monkey jumps, we subtract or add the corresponding number of steps to its current position. This process allows us to track the monkey's progress until it reaches the water level.