Question

Q5. A water tank has steps inside it. A monkey is sitting at the topmost
step (ie the first step). The water level is at the ninth step.
1) He jumps 3 steps down and then jumps back 2 steps up. In how many
jumps will he reach the water level?
ii) 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? explain step by step but not in a sentence for a paragraph ​

Answer 1

Answer:

i) 11 steps

Step-by-Step Explanation:

If the steps moved down are shown as positive integer and the steps going up are negative integers then:

At the beginning the monkey is sitting on the first step

In the 1st jump monkey will be at step = 1 + 3 = 4 steps

In the 2nd jump monkey will be at step = 4 + (-2) = 4 – 2 = 2 steps

In the 3rd jump monkey will be at step = 2 + 3 = 5 steps

In the 4th jump monkey will be at step = 5 + (-2) = 5 – 2 = 3 steps

In the 5th jump monkey will be at step = 3 + 3 = 6 steps

In the 6th jump monkey will be at step = 6 + (-2) = 6 – 2 = 4 steps

In the the 7th jump monkey will be at step = 4 + 3 = 7 steps

In the 8th jump monkey will be at step = 7 + (-2) = 7 – 2 = 5 steps

In the 9th jump monkey will be at step = 5 + 3 = 8 steps

In the 10th  jump monkey will be at step = 8 + (-2) = 8 – 2 = 6 steps

In the 11th jump monkey will be at step = 6 + 3 = 9 steps

∴The monkey took 11 jumps (the 9th step) to reach the water level

Answer:

ii) 5 jumps

Step-by-Step Explanation:

Again if the steps moved down are shown as positive integer and the steps going up are negative integers then:

In the  1st jump monkey will be at step = 9 + (-4) = 9 – 4 = 5 steps

In the 2nd jump monkey will be at step = 5 + 2 = 7 steps

In the  3rd jump monkey will be at step = 7 + (-4) = 7 – 4 = 3 steps

In the 4th jump monkey will be at step = 3 + 2 = 5 steps

In the 5th jump monkey will be at step = 5 + (-4) = 5 – 4 = 1 step

∴The monkey took 5 jumps to reach back the top step i.e., first step.

Note:

The first sentence for both of the explanation is for your understanding, it is not part of the answer. Please mark me as brainliest.