gavroche
Getting old but not past it
- Location
- North Wales
It is Sunday today so just to let you know, my brain is having his rest day.
640mm ??OK, it's Monday morning now, but to keep your minds ticking over ...
There is a 10 volume set of novels on the book shelf.
For simplicity, all volumes are of equal size.
Each volume has a hard back cover of 5mm thickness and the internal pages in each volume amount to 40mm.
There is a bookworm on page one of volume one and he wants to get to the last page in the last volume.
How far will he have to travel as he eats his way through the volumes?
Nice try, but no. A bit less.495?
Ah, I thought it was until he was all the way through including the back cover. Read it again and see I’m wrong. Teach me to take my time reading questions!490mm
10 x 40mm internal volumes
8 x front & back covers of 5mm each = 80mm
1 back cover (vol 1) of 5mm + 1 x front cover (vol 10) of 5mm = 10mm
Getting closer, but still too high.490mm
10 x 40mm internal volumes
8 x front & back covers of 5mm each = 80mm
1 back cover (vol 1) of 5mm + 1 x front cover (vol 10) of 5mm = 10mm
Correct - well thought out.Just had a thought - if the books are arranged numerically 1 - 10 from left to right, the bookworm doesn't need to go through vol 1 to get to vol 2, just the front cover and similar with volume 10 as it only need to get through the back cover, so...
8 x internal volumes of 40mm = 320mm
8 x front & back covers of 5mm = 80mm
1 x front cover (vol 1) & 1 back cover (vol 10) = 10mm
Total 410mm
Oops 540mm.No. How did you get to 640mm?
You have list me there (not difficult I admit) . If he starts inside the cover of volume 1 then surely he has to get through 40mm plus the cover in order to get to volume 2.Just had a thought - if the books are arranged numerically 1 - 10 from left to right, the bookworm doesn't need to go through vol 1 to get to vol 2, just the front cover and similar with volume 10 as it only need to get through the back cover, so...
8 x internal volumes of 40mm = 320mm
8 x front & back covers of 5mm = 80mm
1 x front cover (vol 1) & 1 back cover (vol 10) = 10mm
Total 410mm
The volumes are left to right 1 to 10. So when on the shelf, the first page is on the right. So the worm only has to get through the front cover to get to volume 2. Simarlily the the last page of vol 10 will be the first page he comes to.Oops 540mm.
You have list me there (not difficult I admit) . If he starts inside the cover of volume 1 then surely he has to get through 40mm plus the cover in order to get to volume 2.
Where am I going wrong?