When books are placed on a shelf, the pages are like:

[ Volume 1 ][ Volume 2 ][ Volume 3 ]

[Page 1000 ... Page 1][Page 1000 ... Page 1][Page 1000 ... Page 1]

So, it is a tricky puzzle. I could have made it harder by saying the worm chews 100 SHEETS in an hour and you may have fallen into the trap of sheets vs pages, but I didn't (because I am nice )

]]>If the worm starts at page one, then it doesn't chew the first cover, OR the last since it finishes at page 1000 of the last volume, it chews 4 covers. This totals 2 hours, so just 32 hours (one and a half days).]]>

Zach wrote:Milos wrote:OK. For one day it climbs 1m(I agree with that ; 3-2=1), but when it comes to 17m(17th day) , it has 3m to reach the top. As it climbs 3m for 12h, he will reach the top on 18th day.

Incorrect, though I see your logic.

The answer is the 17th day with this new answer. On the 18th day, he'd be at 18m.

after 1st day-1m

after 2nd day-2m

after 3rd day-3m

after 17th day-17m

day-24h

now, as there are 3m left, in the first part of 18th day (first 12h) it will reach the top. So it is 18th day, not 17th. It doesn't need to go back when it has reached the top -or if it does, that does not interest us. Question was:' When will it reach the top', so if it wants to jump after reaching the top that is its problem, not ours.

I hope you understand it know. My answer is correct, I assure you.

I don't think we're talking about the squirrel anymore!

But, anyway, I understand your logic. Yes.

]]>Milos wrote:OK. For one day it climbs 1m(I agree with that ; 3-2=1), but when it comes to 17m(17th day) , it has 3m to reach the top. As it climbs 3m for 12h, he will reach the top on 18th day.

Incorrect, though I see your logic.

The answer is the 17th day with this new answer. On the 18th day, he'd be at 18m.

after 1st day-1m

after 2nd day-2m

after 3rd day-3m

after 17th day-17m

day-24h

now, as there are 3m left, in the first part of 18th day (first 12h) it will reach the top. So it is 18th day, not 17th. It doesn't need to go back when it has reached the top -or if it does, that does not interest us. Question was:' When will it reach the top', so if it wants to jump after reaching the top that is its problem, not ours.

I hope you understand it know. My answer is correct, I assure you.