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Title: 🔴=Some math challenge.=🔴 Post by: xenon131 on January 29, 2019, 10:18:38 PM Fi
Title: Re: Some math challenge. Post by: MoonCrypt on January 29, 2019, 10:49:00 PM First correct answer will get merit from me. So, there are three books namely vol. 1, vol.2 and vol. 3 densely packed together on the shelve. The thickness of all pages of each book (not including covers) is 5 cm while the thickness of their cover on every side is 0.3 cm. The bookworm has started his journey from the page #1 of the vol.1 and ended on the last page of the vol. 3. Now the question. What was the length of his path? The Book is densely packed on the Shelve the book worm walked the length of the book been densely packed together on the shelve from page #1 Vol1 to last page on vol3 Vol1 Page thickness = VPT1 = 5cm Vol1 Cover Thickness = VCT1 = 0.3cm Vol2 Page thickness = VPT2 = 5cm Vol2 Cover Thickness = VCT2 = 0.3 cm Vol3 Page thickness = VPT3 = 5cm Vol3 Cover Thickness = VCT3 = 0.3cm solution = VPT1 + VCT1 + VCT2 +VPT2 + VCT2 + VCT3 + VPT3 5 + 0.3 + 0.3+5 + 0.3 +0.3+5 = 16.2cm = length of his path Title: Re: Some math challenge. Post by: qwk on January 30, 2019, 12:02:52 AM First correct answer will get merit from me. That actually depends upon the language of the books and the language of the librarian.So, there are three books namely vol. 1, vol.2 and vol. 3 densely packed together on the shelve. The thickness of all pages of each book (not including covers) is 5 cm while the thickness of their cover on every side is 0.3 cm. The bookworm has started his journey from the page #1 of the vol.1 and ended on the last page of the vol. 3. Now the question. What was the length of his path? Titles on the backs of books are usually printed top to bottom in English-speaking countries, and bottom to top in German-, French- or Italian-speaking countries. Obviously, a German librarian will usually stand English books on their heads and vice versa. ;) edit: to give others a hint: if in one language and sorted by a librarian of said language, our book-worm will only have to eat through one page of vol 1 & 3. edit2: and while we're at it: what is the airspeed velocity of an unladen swallow? ;) hint: http://style.org/unladenswallow/ Title: Re: Some math challenge. Post by: MoonCrypt on January 30, 2019, 12:55:31 AM First correct answer will get merit from me. That actually depends upon the language of the books and the language of the librarian.So, there are three books namely vol. 1, vol.2 and vol. 3 densely packed together on the shelve. The thickness of all pages of each book (not including covers) is 5 cm while the thickness of their cover on every side is 0.3 cm. The bookworm has started his journey from the page #1 of the vol.1 and ended on the last page of the vol. 3. Now the question. What was the length of his path? Titles on the backs of books are usually printed top to bottom in English-speaking countries, and bottom to top in German-, French- or Italian-speaking countries. Obviously, a German librarian will usually stand English books on their heads and vice versa. ;) edit: to give others a hint: if in one language and sorted by a librarian of said language, our book-worm will only have to eat through one page of vol 1 & 3. edit2: and while we're at it: what is the airspeed velocity of an unladen swallow? ;) hint: http://style.org/unladenswallow/ but the way the bookworm started the journey and ended it is a hint in the way the books are positioned!! (to form a path) just saying Title: Re: Some math challenge. Post by: cestmoi on January 30, 2019, 01:41:12 AM First correct answer will get merit from me. If the books are positioned like this So, there are three books namely vol. 1, vol.2 and vol. 3 densely packed together on the shelve. The thickness of all pages of each book (not including covers) is 5 cm while the thickness of their cover on every side is 0.3 cm. The bookworm has started his journey from the page #1 of the vol.1 and ended on the last page of the vol. 3. Now the question. What was the length of his path? VOL1-VOL2-VOL3 Then Journey through Vol 1 = 0.3 +5 +0.3 Journey through Vol 2 = 0.3 +5 +0.3 Journey through Vol 3 = 0.3 +5 +0 (it didn't go through the cover) total = 16.5cm If the order is not the same, then, who knows Title: Re: Some math challenge. Post by: Kostek on January 30, 2019, 02:19:52 AM 3 x 5 = 15
0.3 X 4(the first cover and the last one we do not count) = 1.2 15+1.2 = 16.2 The length of its road is 16.2cm Title: Re: Some math challenge. Post by: BADecker on January 30, 2019, 07:05:45 AM v1 cover
v2 cover pages cover v3 cover 8) Title: Re: Some math challenge. Post by: qwk on January 30, 2019, 08:45:13 AM but the way the bookworm started the journey and ended it is a hint in the way the books are positioned!! (to form a path) No, it isn't.If the books are standing on their heads, the first page will be on the left side, the last page will be on the right side, and vice versa. :P Title: Re: Some math challenge. Post by: MoonCrypt on January 30, 2019, 09:40:31 AM Sorry, no correct answer so far the length of his Path, not the length he worked that mean the whole possible length of the book perpendicular means he has to create a 90-degree angle with the pages another try lol the whole length of the books = 16.8 cm Title: Re: Some math challenge. Post by: MoonCrypt on January 30, 2019, 10:54:10 AM Sorry, no correct answer so far the length of his Path, not the length he worked that mean the whole possible length of the book perpendicular means he has to create a 90-degree angle with the pages another try lol the whole length of the books = 16.8 cm let's think of these if the arrangement of the book makes the first page of vol1 further to the right and the last page of vol3 is to the left that means we have : VCT1 + VCT2 +VPT2 + VCT2 + VCT3 0.3 + 0.3 +5+0.3+0.3 = 6.2 cm another theory Title: Re: Some math challenge. Post by: Kostek on January 30, 2019, 08:08:42 PM 0.3
+ 0.3+ 5 +0.3 + 0.3 The length of its road is 6.2cm Title: Re: Some math challenge. Post by: dikobraz123 on January 30, 2019, 09:30:28 PM It depends how the books are arranged;
-for V2-V1-V3 length of its road is 0.6 cm -for V1-V2-V3 length of its road is 6.2 cm -for V3-V2-V1 length of its road is 16.2 cm Title: Re: Some math challenge. Post by: dikobraz123 on January 31, 2019, 11:58:21 AM Ok; the complete solution is:
-for V2-V1-V3 length of its road is 0.6 cm -for V1-V2-V3 length of its road is 6.2 cm -for V3-V2-V1 length of its road is 16.2 cm -for V1-V3-V2 length of its road is 0.6 cm -for V2-V3-V1 length of its road is 10.6 cm -for V3-V1-V2 length of its road is 10.6 cm So; the possible solutions are 0.6; 6.2; 10.6 and 16.2 cm Title: Re: 🔴=Some math challenge.=🔴 Post by: dikobraz123 on February 01, 2019, 12:31:19 PM Well; if we allow that one book can be oriented upside-down (or with spine against wall) then we have two more possible solutions: 5.6 and 11.2 cm
Other than that - I don't have any other idea... |