A water tank has steps inside it. A monkey is sitting on the top m | Filo

Class 11

Math

Co-ordinate Geometry

Straight Lines

575
150

A water tank has steps inside it. A monkey is sitting on the top most step. (ie, the first step) The water level is at the ninth step.
(a) He jumps steps down and then jumps back step up. In how many jumps will he reach the water level?
(b) After drinking water, he wants to go back. For this, he jumps steps up and then jumps back steps down in every move. In how many jumps will he reach back the top step?

Solution: Monkey Jumps steps down and steps up so, in total he jumped step down.Therefore , Now he is at step and water level is at the step.
Now, he will reach water level in jumps.

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

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

Now, the number of jumps he made to reach the top
575
150

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