Five Oosthoeks Encyclopedia books as shown on the picture ; having a 1/8 inch each cover and the pages are two inches thick. If the bookworm started eating from the first page of volume 11 to the last page of volume 15, how many inches has the bookworm traveled?
Answers
Answer:
There are four volumes of Shakespeare's collected works on a shelf. The volumes are in order from left to right. The pages of each volume are exactly two inches thick. The covers are each 1/6 inch thick. A bookworm started eating at page one of Volume I and ate through to the last page of Volume IV. What is the distance the bookworm traveled?
Given :- Five Oosthoeks Encyclopedia books as shown on the picture ; having a 1/8 inch each cover and the pages are two inches thick. If the bookworm started eating from the first page of volume 11 to the last page of volume 15, how many inches has the bookworm traveled ?
Answer :-
→ Total books = 5
→ Width of pages = 2 inches .
→ with of each cover = (1/8) inch .
so,
→ pages of volume 11 = 2 inch .
→ Down cover = 1/8 .
similarly,
→ Volume 12 = Volume 13 = Volume 14 = (1/8) + 2 + (1/8)
and,
→ Volume 15 = (1/8) + 2 inch . { Last page of Volume 15 }
then,
→ The distance travelled by bookworm = 2(2 + 1/8) + 3(1/8 + 2 + 1/8) = 2(17/8) + 3(9/4) = (17/4) + (27/4) = 44/4 = 11 inches (Ans.)
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