A hungry bookworm bores through a complete
set of encyclopedias consisting of n volumes stacked in...

Question

A hungry bookworm bores through a complete
set of encyclopedias consisting of n volumes stacked in numerical order on a
library shelf. The bookworm starts inside the front cover of volume 1, bores
from page 1 of volume 1 to the last page of the last volume, and stops inside
the back cover of the last volume. Note that the book worm starts inside the
front cover of volume 1 and ends inside the back cover of volume n. Assume that
each volume has the same number of pages. For each book, assume that you know
how thick the cover is, and that the thickness of a front cover is equal to the
thickness of a back cover; assume also that you know the total thickness of all
the pages in the book. How far does the bookworm travel? How far will it travel
if there are 13 volumes in the set and each book has 2 inches of pages and a 1 >8
-inch thick cover?

Aditi · Accepted Answer

SOLUTION
Put these factors into consideration:
Putting the books together, the bookworm has drilled a hole the thickness of each one.
Each book has a thicker cover than its contents.
Since we already lack the first volume's front cover and the final volume's back cover,

A hungry bookworm bores through a complete set of encyclopedias consisting of n volumes stacked in numerical order on a library shelf. The bookworm starts inside the front cover of volume 1, bores...

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