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Kevin1958
21 Dec 09 12:08
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Date Joined: 29 Apr 08
| Topic/replies: 147 | Blogger: Kevin1958's blog
Imagine you are in a rectangular room 3meters wide, 5 meters long and 3 meters high. At 2 opposing ends of the room therefore is a square wall 3 meters wide and 3 meters high. On the vertical centre line one of these square walls is a black dot 1 meter from the floor. On the vertical centre line of the opposing square wall is a black dot 1 meter from the ceiling i.e. 2 meters from the floor.

You have a marker pen and your task is to draw a single continuous line connecting both the dots. You can draw on any of the walls plus the floor and the ceiling if you wish. Assume all walls are perfectly vertical, and the floor and ceiling perfectly horizontal

What is the shortest line you can draw to join the 2 dots?

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Replies: 109
By:
infomaniac
When: 21 Dec 09 12:12
45 meters
By:
MRGRUMPY1
When: 21 Dec 09 12:12
ffs, now the missus is in a foul mood because of all the black dots painted in her walls.
By:
shergarburger
When: 21 Dec 09 12:14
8 m? (this is probably wrong because its the obvious answer)
By:
evski
When: 21 Dec 09 12:14
10 metres
By:
evski
When: 21 Dec 09 12:15
sorry 8 metres
By:
Kevin1958
When: 21 Dec 09 12:15
Oh bugger. Sorry, sorry, sorry.

The room is 10 meters long not 5.
By:
evski
When: 21 Dec 09 12:16
the answer is 13m then
By:
MRGRUMPY1
When: 21 Dec 09 12:16
Kevin1958 21 Dec 13:08
You can draw on any of the walls plus the floor and the ceiling if you wish.

Told her you said it was ok, she's still not happy though.
By:
Kevin1958
When: 21 Dec 09 12:17
Imagine you are in a rectangular room 3meters wide, 10 meters long and 3 meters high. At 2 opposing ends of the room therefore is a square wall 3 meters wide and 3 meters high. On the vertical centre line one of these square walls is a black dot 1 meter from the floor. On the vertical centre line of the opposing square wall is a black dot 1 meter from the ceiling i.e. 2 meters from the floor.

You have a marker pen and your task is to draw a single continuous line connecting both the dots. You can draw on any of the walls plus the floor and the ceiling if you wish. Assume all walls are perfectly vertical, and the floor and ceiling perfectly horizontal

What is the shortest line you can draw to join the 2 dots?
By:
shergarburger
When: 21 Dec 09 12:17
13 metres then
By:
Kevin1958
When: 21 Dec 09 12:17
No 13 is incorrect.
By:
HarryCrumb
When: 21 Dec 09 12:20
How high is the door?
By:
Kevin1958
When: 21 Dec 09 12:21
Dont worry about the door Harry.
By:
evski
When: 21 Dec 09 12:22
(10^2 +1^2)^(1/2)
By:
shergarburger
When: 21 Dec 09 12:22
where is this room? does it have windows?
By:
Kevin1958
When: 21 Dec 09 12:24
It doesn't matter where the room is. It may have windows but thats nothing to do with the question or the solution.
By:
evski
When: 21 Dec 09 12:25
sorry (13^2 + 1^2) ^(1/2)= 13 and a bit. that is further than the line down the centre of the room. How can 13 not be right?
By:
Kevin1958
When: 21 Dec 09 12:25
evski. Wrong.
By:
3753 Cruithne
When: 21 Dec 09 12:27
13 is the answer, and it's the answer whether you draw along the walls OR the ceiling OR the floor.

Ipso facto imo.
By:
Kevin1958
When: 21 Dec 09 12:29
13 is not the answer. a priori: from the former. If you think something a priori, you are conceiving it before seeing the facts.
By:
Kevin1958
When: 21 Dec 09 12:29
That was for 3753. lol
By:
munch man
When: 21 Dec 09 12:30
13 isn't the answer i don't think.
i think it would be shorter if you went sideways from the dot, and then at a slight angle along the wall (rather than along the floor or ceiling).
By:
evski
When: 21 Dec 09 12:31
no, if you went at a slight angle the answer would be 170^1/2 which is a bit further than 13m.
By:
Gene Hackman
When: 21 Dec 09 12:32
7M
By:
Kevin1958
When: 21 Dec 09 12:33
Gene. The room is 10 meters long.
By:
evski
When: 21 Dec 09 12:34
so are you saying the answer is less than 13m kevin?
By:
Gene Hackman
When: 21 Dec 09 12:34
Kev
The room is 5 metres long.
7M is wrong I have just realised.
By:
Kevin1958
When: 21 Dec 09 12:35
Yes. The answer is less than 13 meters.
By:
Kevin1958
When: 21 Dec 09 12:35
Gene. The room is 10 meters long.
By:
evski
When: 21 Dec 09 12:37
I'm making the room now to see where I'm going wrong.
By:
Gene Hackman
When: 21 Dec 09 12:37
Sorry Kev,I didn't realise you'd increased the size of your room after asking the original question based on the room being 5 metres long.Sorry.
By:
Kevin1958
When: 21 Dec 09 12:37
evski. That's what I did.
By:
Kevin1958
When: 21 Dec 09 12:39
No worries Gene. It was my mistake. It can be done in less than 13 meters though.
By:
evski
When: 21 Dec 09 12:49
my room disagrees. Please just put me out of my misery. How can it be done?

I just can't see how you can beat a straight line.
By:
Kevin1958
When: 21 Dec 09 12:50
evski. If you have drawn the room, you can't be too far away from the solution.
By:
Kevin1958
When: 21 Dec 09 12:51
Obviously, you cant beat a straight line.
By:
munch man
When: 21 Dec 09 12:53
is it 10.05 metres?
By:
irishlad
When: 21 Dec 09 12:53
Which wall has the door?
By:
Kevin1958
When: 21 Dec 09 12:55
It couldn't be anywhere near as short as 10.05 metres, the room is 10 metres long.

The door is not important for the solution.
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