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Topic: 🔴=Some math challenge.=🔴 (Read 288 times)

hero member
Activity: 491
Merit: 1259
Nihil impunitum
February 01, 2019, 09:09:23 AM
#19
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...


Wonderful, u found all possible i.e : 0.6, 5.6, 6.2, 10.6, 11.2 and 16.2  ( In fact I forgot abt 10.6  Grin). U got second merit and the thread is locked
hero member
Activity: 491
Merit: 1259
Nihil impunitum
January 31, 2019, 07:28:49 AM
#17
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


Yeah, the length of  bookworm's path  depends on  topology of the space formed by books. U got merit. For now on the thread is locked.

Oh, did not notice first that u presented 4 values but not 5 as it should be. There is one left. Nevertheless u tried hard so u deserve my merit.

 If u (or someone else)  find the last value for path  then one more merit will be send.
hero member
Activity: 491
Merit: 1259
Nihil impunitum
January 31, 2019, 03:00:43 AM
#15
~

You're nicely on the right track but still not complete math. There are a few more solutions.
member
Activity: 88
Merit: 24
February 01, 2019, 07:31:19 AM
#14
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...
member
Activity: 88
Merit: 24
January 31, 2019, 06:58:21 AM
#13
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
member
Activity: 88
Merit: 24
January 30, 2019, 04:30:28 PM
#12
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
newbie
Activity: 76
Merit: 0
January 30, 2019, 03:08:42 PM
#11
 0.3
+
0.3+ 5 +0.3
+
0.3
The length of its road is 6.2cm
member
Activity: 246
Merit: 16
Learn and Grow
January 30, 2019, 05:54:10 AM
#10
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
member
Activity: 246
Merit: 16
Learn and Grow
January 30, 2019, 04:40:31 AM
#9
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
qwk
donator
Activity: 3542
Merit: 3413
Shitcoin Minimalist
January 30, 2019, 03:45:13 AM
#8
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. Tongue
legendary
Activity: 3906
Merit: 1373
January 30, 2019, 02:05:45 AM
#7
v1 cover
v2 cover pages cover
v3 cover

Cool
newbie
Activity: 76
Merit: 0
January 29, 2019, 09:19:52 PM
#6
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
full member
Activity: 196
Merit: 295
W̔̆̌̏͂͑ͦͧ
January 29, 2019, 08:41:12 PM
#5
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?  

If the books are positioned like this
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
member
Activity: 246
Merit: 16
Learn and Grow
January 29, 2019, 07:55:31 PM
#4
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?  

That actually depends upon the language of the books and the language of the librarian.
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. Wink

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?  Wink 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
qwk
donator
Activity: 3542
Merit: 3413
Shitcoin Minimalist
January 29, 2019, 07:02:52 PM
#3
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?  

That actually depends upon the language of the books and the language of the librarian.
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. Wink

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?  Wink hint: http://style.org/unladenswallow/
member
Activity: 246
Merit: 16
Learn and Grow
January 29, 2019, 05:49:00 PM
#2
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

hero member
Activity: 491
Merit: 1259
Nihil impunitum
January 29, 2019, 05:18:38 PM
#1
Fi
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