How many days!!!

Algebra Level 2

A rabbit is inside a well of 30 meters. It climbs 3m at day and slips down 2m at night. Find the number of days taken by the rabbit to get out of the well.


The answer is 28.

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3 solutions

Ronak Agarwal
Jun 25, 2014

Each day it rises 1 m(since it rises 3 m and falls 2 m) . After 27 days it rose 27 metres. At the 28th day it rose 3m and got out of the well

In one day and one night, he climbs up 3 2 = 1 3-2=1 meter. It follows that in twenty seven days and twenty seven nights, he climbs up 1 × 27 = 27 1 \times 27=27 meters. The next day, he climbs up 3 3 meters making a total of 30 30 meters in 28 28 days.

Pankaj Nirwan
Jul 13, 2014

Suppose ;

Day 1 - It jumps 3 meters. 0 + 3 = 3. Then falls back 2 meters at night. 3 - 2 = 1 Day 2 - It jumps 3 meters. 1 + 3 = 4. Then falls back 2 meters at night. 4 - 2 = 2.

Simmilarly ...... ... Day 26 - It jumps 3 meters. 25 + 3 = 28. Then falls back 2 meters at night. 28 - 2 = 26. Day 27 - It jumps 3 meters. 26 + 3 = 29 Then falls back 2 meters at night. 29 - 2 = 27. Day 28 - It jumps 3 meters. 27 + 3 = 30

Therefore , Rabbit take 28 days to get out of the well.

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