## samigupta8 2 years ago a monkey while trying to reach the top of a pole of height 12 metres takes every time a jump of 2 metres but slips 1 metre while holding the pole.the number of jumps required to reach the top of the ople is

1. T_Dunn

The number of jumps required to reach the top of the pole is what?

2. samigupta8

exactly that's my question

3. swissgirl

Well so basically in other terms we can say that the monkey only jumps 1 meter every jump

4. swissgirl

Since every jump he moves up 2 meters but slips 1 meter which is 2-1=1

5. T_Dunn

Oh haha I read that wrong!..Im sorry.. but swiss girl is right.

6. swissgirl

So we can model our equation as follow 2x-x=12 Or (2-1)x=12 and then solve for x

7. swissgirl

or x=12

8. tcarroll010

It takes 11 jumps. He won't slip from 12 to 11 on the last jump because he's already at the top. You are basically counting the elements in the following: 2, 3, 4, . . . , 12 which is 11 each element is the position before the slip but after the jump.

9. jdoe0001

well, why would a monkey be jumping on a bare pole anyway? is not like it has figs or bananas, so really on every jump the monkey is wasting 2 meters plus momentum of eneergy :P

10. swissgirl

Hmmm I think tcarroll is correct

11. samigupta8

u r right tcarrol.....

12. tcarroll010

thanks much. That was a fun problem! That monkey better get a better grip!