Discussion
The three volumes of Encyclopedia of Animal Kingdom sit in order on a shelf with no space between the volumes, all upright, so that their spines are visible, left to right : I, II and III. Each is 30 mm thick, comprising 24 mm of total pages and 3 mm for each cover. A bookworm bores from page 1, volume I, to the last page of volume III. How far does it travel ?
Answer: B
The bookworm travels only 36 mm.
Books standing upright on a shelf with spines facing out have their first page on the right side of the book and their last page on the left. So page 1 of volume I lies against volume II, and the last page of volume III also lies against volume II.
\[ \begin{aligned} \text{distance} &= 3 + 30 + 3 \\ &= 36 \text{ mm} \end{aligned} \]
That is the front cover of volume I, the whole of volume II, and the back cover of volume III. 90 mm assumes the worm crosses all three books, 72 mm counts the pages of all three volumes, and 84 mm counts everything except the two outer covers; each puts page 1 and the last page on the wrong side.
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