Bucket Problem

• Mar 4th 2014, 03:12 AM
BobBali
Bucket Problem
Dear All,

would be great if I could get help with the following. It's a logic problem that has me stumped... > I have 3 buckets
An empty 8ltr bucket, an empty 6ltr bucket and a full 20ltr bucket of water. I wish to divide the 20ltrs of water into 10ltrs. How to do this using the empty 8ltr and 6ltr buckets?

Regards,
Bob
• Mar 4th 2014, 03:24 AM
romsek
Re: Bucket Problem
Quote:

Originally Posted by BobBali
Dear All,

would be great if I could get help with the following. It's a logic problem that has me stumped... > I have 3 buckets
An empty 8ltr bucket, an empty 6ltr bucket and a full 20ltr bucket of water. I wish to divide the 20ltrs of water into 10ltrs. How to do this using the empty 8ltr and 6ltr buckets?

Regards,
Bob

let the A=20 ltr bucket, B=8, C=6

$\begin{array}{lllr} &A &B &C &action \\ &20 &0 &0 &A\to B \\ &12 &8 &0 &B \to C \\ &12 &2 &6 &C \to A \\ &18 &2 &0 &B \to C \\ &18 &0 &2 &A \to B \\ &10 &8 &2 &Done \end{array}$
• Mar 4th 2014, 07:33 AM
BobBali
Re: Bucket Problem
Thank you so much :-)
• Mar 4th 2014, 08:52 AM
Hartlw
Re: Bucket Problem
I don't understand all the steps. Why can't you take the 20ltr bucket and pour 8ltr into 8ltr bucket and 2ltr into 2ltr bucket, leaving 10ltr?
• Mar 4th 2014, 09:12 AM
Plato
Re: Bucket Problem
Quote:

Originally Posted by Hartlw
I don't understand all the steps. Why can't you take the 20ltr bucket and pour 8ltr into 8ltr bucket and 2ltr into 2ltr bucket, leaving 10ltr?

This is a classic problem. Although not stated here, the containers are not marked off. That is there would be no way to pour 2lt from a non-full container unless pouring into a 2lt container.
• Mar 4th 2014, 09:13 AM
emakarov
Re: Bucket Problem
Quote:

Originally Posted by Hartlw
Why can't you take the 20ltr bucket and pour 8ltr into 8ltr bucket and 2ltr into 2ltr bucket, leaving 10ltr?

A two-liter bucket is not given.
• Mar 4th 2014, 09:16 AM
Hartlw
Re: Bucket Problem
Quote:

Originally Posted by Plato
This is a classic problem. Although not stated here, the containers are not marked off. That is there would be no way to pour 2lt from a non-full container unless pouring into a 2lt container.

But you are pouring into a 2ltr container.
• Mar 4th 2014, 09:32 AM
Plato
Re: Bucket Problem
Quote:

Originally Posted by Hartlw
But you are pouring into a 2ltr container.

Quote:

Originally Posted by emakarov
A two-liter bucket is not given.

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