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A monkey fell into a well of depth 6metres.Every time it jumped up,it would gain 1metre but, by the time it took another jump it depletes 0.5 metres.In how many jumps will it reach 6bmetres.

A monkey fell into a well of depth 6metres.Every time it jumped up,it would gain 1metre but, by the time it took another jump it depletes 0.5 metres.In how many jumps will it reach 6bmetres.

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Grade:8

1 Answers

Arun
25750 Points
5 years ago
Dear student
 
let the monkey jumps n times in which it does not go back and n-1 times it slips.
 
hence
 
n –  0.5(n- 1) = 6
 
0.5 n = 5
 
n = 10. ....
 
hence in 20 steps it will come out

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