Question

A water tank has steps inside it. A monkey is sitting on the
step). The water level is at the ninth step.
Hejumps 3 steps down and then jumps back 2 step
In how many jumps will he reach the water level?
(ii) After drinking water, he wants to go back. For this
jumps 4 steps up and then jumps back 2 steps do
in every move. In how many jumps will he reach b
the top step?
i) If the number of steps moved down is represented
negative integers and the number of steps moved up
positive integers, represent his moves in part (i) and​

Answer 1

Step-by-step explanation:

step). The water level is at the ninth step.

Hejumps 3 steps down and then jumps back 2 step

In how many jumps will he reach the water level?

(ii) After drinking water, he wants to go back. For this

jumps 4 steps up and then jumps back 2 steps do

in every move. In how many jumps will he reach b

the top step?

i) If the number of steps moved down is represented

negative integers and the number of steps moved up

positive integers, represent his moves in part (i

Answer 2

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(a) Monkey Jumps 3 steps down and 2 steps up so, in total he jumped 1 step down.Therefore , Now he is at second step and water level is at the ninth step.

Now, he will reach water level in 9−2=7 jumps.

(b) He jumps 4 steps up and 2 steps down ,so totally he climbs 2 steps up in 6 Jumps,Similarly we can divide 9 steps as follows

⇒9=2+2+2+3

After reaching the third Step, As he jumps up 3 more Steps He will reach the top step and till then there will be no more steps to climb.(Means after 3 more Jumps he will reach the top step)

Now, the number of jumps he made to reach the top =2×6+2×6+2×6+3=12+12+12+3=39