puzzle

Illkillya

You have two cylindrical glasses of the same height. The first can hold 2.1
decilitre water, the other 0.9 decilitre water. Using an ordinary tap and
those two glasses, how can you fill the biggest glass with 2.0 decilitre
water.

No water is lost when you pour water into the other glass. No signs or marks
are readable. No other attributes are available.

Try that one Paladin!

Paladin

nnnnngh
Ive been rackin my brain for almost 5 minutes now and im damned if I have a good answer.
So here is my bad (and illogically inaccurate) answer:

They r the same height so the bigger one is wider. This means the smaller one will fil into it. Put the smaller one into the big one and fill em up. Allow the .9 to fill and overflow into the 2.1 until its full. Then take out the .9 one. Pour this .9 back into the 2.1 glass. Now I rekon u have approx. 2.0 dcl.

The problem I have is that this isnt mathamatical. I just cant figure out any way of doing it matamatically. I give up. Whats the answer?

WhiteWashMan

nope, cannot for the life of me figure it out.
to get 2.0 decilitres of water...
i can only get to work in units of .3 decilitres, and than doesnt go into 2 decilitres.....
i have managed to figure it out..but it is very convalouted and roundabout, and youd need more things for holding water than the 2 glasses...
bugger this is annoying

---

Your Dungeon Is On An Incline.
Irate Creatures Cannot Play Marbles.....

Illkillya

I know, its a hard one, but there is a proper answer, so heres a couple of hints:
First, use centilitres - way easier!
I won't tell you yet, because Wyverne hasn't seen it yet i'd say, but because they're the same height, you can fill the 21cl glass to the height of the liquid in the 9cl glass.
The 21cl glass has 2 1/3 times the capacity of the 9cl glass, so this gives you an amount you wouldn't be able to get otherwise.
I actually don't like these problems, and i didn't get it, but you can try it anyway....

Paladin

I think I know what ure saying. You pour the 9 cl into the 21 cl and u get it to height x.
Then fill the 9cl to height x.
Is this what ure saying?
Not sure really.
If it is it means that I might have to write down (or type) a little maths which I HATE doing.
I find it so degrading having to do arithmatic on paper/calculator
Therefore you win. I cant be bothered (or else im too stupid.
,ure pick ).
Its passed the point of fun 4 me

Illkillya

Ok, illtellya.
Like i said, i don't like these puzzles, like the one on Die hard with a vengeance.
They're very boring. I have a good puzzle I like doing, if i can find it illpostit. (kind of a word game)

The answer to this one is:
Fill the 21cl glass from the 9cl glass three times. You're left with
6cl in the 9cl glass.

Fill the 21cl glass to the height of the liquid in the 9cl glass.
Since the 21cl glass has 2 1/3 times the capacity of the 9cl glass at
an equal height, it now has 14cl.

Fill the 21cl glass from the 9cl glass. This leaves 2cl in the 9cl
glass.

Fill the 21cl glass twice from the 9cl glass, leaving 20cl in the 21cl
glass!

Its only good when you know the answer

_CreeD_

Good puzzle, but your explanation goes a bit awry after the 2nd point.

Line 1 - You've 6CL in the small glass.
Line 2 - You've 14CL in in the Big glass.
That should be the end, as it equals 20cl.

Line3 and 4 presume you have a 3rd container at least to hold the excess water as you measure, and aren't really necessary anyway.

Okay, okay..I'm nit picking 'coz I didn't get it....

[This message has been edited by _CreeD_ (edited 29-02-2000).]

WhiteWashMan

yeah, that was my point, you need more containers to do that.
also, i dont think you can 'fill one container to the same height of the other container'....because, it says the 2 containers are the same height, and therefor, their widths are different.
which means that if you fill em to the same height you get different quantities.

apart from that, even if width was equal, you couldnt do it coz you could be a couple of mililitres out. the instructions given suggest that in pouring and exchanging liquid between glasses is precise, and this method is not presice.

just a note from an ex-scientist

still cant figure it out. not enough containers....

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Your Dungeon Is On An Incline.
Irate Creatures Cannot Play Marbles.....

Paladin

No ya see wwman.....
They ARE the same height and same shape.
They ARE in a specific ratio.
Ratio 9:21
You can get 6 into the 9 container(I presume u know how)

The same height in the 21 container will be in the same ratio namely:
9:21
6:14
get it?
But in fairness you are relying on human judgement to get them the same heights so it isnt a proper logic puzzle

Illkillya

you're right there, i'd say, didn't notice that (just got it from somewhere else..)

So the answer Creed gave sounds right. once you have 6 in one, because the other has a capacity of 21, it doesn't matter that it is a different width, because it holds 2 1/3 times the capacity of the other at any given height. That means, once you have 6 in one, and 14 in the other, you're finished.

The last step looks totally wrong now. Thats right isn't it?

Wyverne

erm!!!!!

i knew dat

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This is Commander in chief of the USS Esses, signing off.

paw

yeah, thats right...

cool puzzle, worked it out before i read the answers.

Fill the 21cl with the 9cl until the 21cl is full, leaving 6cl in the smaller glass.

Since they're the same height, fill the 21cl glass up to the same height as the 9cl glass: now there's 2/3 of 21 = 14cl in the big glass.

Then just add the 6cl still in the smaller glass.


paw

Illkillya

Hah! there you go paladin - not a bit "obscure"