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Create: 2021-01-09 Update: 2025-07-09 03:10:58

Answer to Q120

The three volumes of a book sit in chronical order on a shelf. Each is 1¼ inches thick, comprising an inch of pages and ⅛ inch for each cover. A bookworm bores from page 1, volume I, to the last page of volume III. How far does it travel?

Ok see the first diagram in the attached picture, do you agree? Putting a book on the shelf, the first page will be on your right and the last page on your left. Good!

Now the books were arranged in chronological order (second diagram). The bookworm bores from page 1 of volume I to last page of volume III. You will agree with me that the last page of Volume III will be the first page the bookworm encounters in Volume III (remember last page is on the left and first page is on the right).

So what we are to find is X (from the second diagram).

X becomes:
= One cover of Volume I + whole book of Volume II + one cover of Volume III
= ⅛ inches + 1¼ inches + ⅛ inches
= 1½ inches

Answer: 1½ inches

Pardon the freehand diagram, I am not a graphic designer 🙈

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Answer to Q120

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