Question

A well has 15 steps inside it . The water level is at ninth step. A frog is sitting on the topmost step that is the first step.The frog jumps 3 step down and then jumps 2 step up . In how many jumps will it reach the water level ? after reching the water level the frog jumps 4 steps up and then 2 steps down in every move.In how many jumps will it return to the topmost step ?​

Answer 1

Answer:

Step-by-step explanation:

Our question is: A well has 15 steps inside it . The water level is at ninth step. A frog is sitting on the topmost step that is the first step.The frog jumps 3 step down and then jumps 2 step up . In how many jumps will it reach the water level ? after reching the water level the frog jumps 4 steps up and then 2 steps down in every move.In how many jumps will it return to the topmost step ?​

Since our aim is to know how many jumps will it return to the topmost step, we need to consider some steps to reach the final answer.

A well has 15 steps inside it . The water level is at ninth step. A frog is sitting on the topmost step that is the first step.The frog jumps 3 step down and then jumps 2 step up . In how many jumps will it reach the water level ? after reaching the water level the frog jumps 4 steps up and then 2 steps down in every move.In how many jumps will it return to the topmost step ?​

1) the frog reaches the water level, the 9th step after 40 jumps.

2) The frog returns to the top after 24 jumps

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Answer 2

Answer:

A well has 15 steps inside it . The water level is at ninth step. A frog is sitting on the topmost step that is the first step.The frog jumps 3 step down and then jumps 2 step up . In how many jumps will it reach the water level ? after reaching the water level the frog jumps 4 steps up and then 2 steps down in every move.In how many jumps will it return to the topmost step ?​

1) the frog reaches the water level, the 9th step after 40 jumps.

2) The frog returns to the top after 24 jumps

Step-by-step explanation:

In how many jumps will it reach the water level?

The frog jumps 3 step down and 2 steps up ⇒ These are five steps

The direction we are moving is downwards we can ascribe this as positive and upwards as negative:

Therefore 3 steps down = + 3

and 2 steps up = -2

If we add these five steps together the resultant vector is

+ 3 + -2 = 3 - 2= 1

Therefore in each of the set of five jumps ( 3 down and 2 up), the frog gains 1 step.

If The frog is in the first step, it needs to move 8 steps to get to the 9th step

Therefore:

To gain 1 step requires = 5 jumps

Then 8 steps requires = 5 jumps × 8 steps/ 1 step

                                  = 40 jumps

Therefore the frog gets to the 9th step after 40 jumps

After how many jumps does the frog get back to the top?

The frogs makes 4 jumps up and 2 jumps down

Upwards is positive (+)

Downwards negative (-)

+4 + - 2 = 4 - 2 = 2

There in every 4 plus 2 jumps ( 6 jumps) the frog gains 2 steps

To get back to the top from the water level ( 9th step) to the top (1st step), the frog requires 9 -1 = 8 steps

If 2 steps requires 6 jumps

Then 8 steps will require = 6 jumps × 8 steps/2 steps

                                       = 24 jumps

Therefore the frog requires 24 jumps to get back to the top