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319 logic/bookworm.p




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This article is from the Puzzles FAQ, by Chris Cole chris@questrel.questrel.com and Matthew Daly mwdaly@pobox.com with numerous contributions by others.

319 logic/bookworm.p


A bookworm eats from the first page of an encyclopedia to the last
page. The bookworm eats in a straight line. The encyclopedia consists
of ten 1000-page volumes and is sitting on a bookshelf in the usual
order. Not counting covers, title pages, etc., how many pages does the
bookworm eat through?

logic/bookworm.s

On a book shelf the first page of the first volume is on the "inside"

  __                             __
B|  |                           |  |F
A|1 |...........................|10|R
C|  |                           |  |O
K|  |                           |  |N
 |  |                           |  |T
  ----------------------------------

so the bookworm eats only through the cover of the first volume, then 8 times
1000 pages of Volumes 2 - 9, then through the cover to the 1st page of Vol 10.
He eats 8,000 pages.

If the bookworm ate the first page and the last page, it ate 8,004 pages.

 

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