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The Bookworm (solution)

© Copyright 2001, Jim Loy

The puzzle: A bookworm (there are many species, including the book louse) has found a tasty ten-volume set of books on a bookshelf. Each book is 5 centimeters thick (pages + 2 covers) and has a cover that is 0.5 centimeters thick. The bookworm begins eating at page one of volume one, and eats to the last page of volume ten, eating through covers and pages. What distance did he travel, during his feast?

page one to last pageThe answer: Most people do not get this one right. On the left we see that our bookworm does not eat any of the pages of the first and last volumes, because page 1 of the first volume is on the side toward the other nine volumes, and similarly, the last page of the last volume is on the side toward the other nine volumes. So our bookworm eats through eight entire volumes, and two covers, or 41 cm.


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