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Topic: CLIMBING SNAIL (Read 3215 times) |
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eviljed
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CLIMBING SNAIL
« on: Aug 7th, 2002, 8:39am » |
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A snail is at the bottom of a well that is 20 meters in depth. Every day the snail climbs 5 meters upwards, but at night it slides 4 meters back downwards. How many days must elapse till the snail reaches the top of the well?
After the first day, he will net 1 meter in height, after the second, 2, and so on.
On the 15th day, he will start at 14 meters , climb 5 to 19, the slide back down to 15.
On the 16th day, he will climb from 15 to 20, but not slide down because he is out.
16 Days.
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SingGloryHallejuah
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~!*The pen is mightier than the sword*!~
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Re: CLIMBING SNAIL
« Reply #1 on: Mar 31st, 2004, 2:32pm » |
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How did the snail get at the bottom of the well to begin with? 
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rmsgrey
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Re: CLIMBING SNAIL
« Reply #2 on: Apr 1st, 2004, 6:46am » |
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He climbed down the opposite side at the rate of 5 meters per day - since he didn't have a slime trail to slide down he didn't slide noticeably each night...
Of course, a diurnal snail isn't all that common - they tend to move around at night when they have less tendency to dry out...
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pzld
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Day 1 elapsed; he was at 1 meter.
...
day 14 elapsed; he was at 14meters.
day 15 did not elapse; he made to the top.
Answer; 14 days elapsed.
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Icarus
wu::riddles Moderator
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Re: CLIMBING SNAIL
« Reply #4 on: Oct 12th, 2004, 5:15pm » |
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Read eviljed's answer. At nightfall on the 15th day, the snail has only reached 19 meters, so it is still trapped. It is only at nightfall on the 16th day that the snail makes it to the top. Since it required the entire day to climb to the top, the 16th day has also elapsed (though the following night is not included).
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"Pi goes on and on and on ...
And e is just as cursed.
I wonder: Which is larger
When their digits are reversed? " - Anonymous
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