perplexus.info :: Weights and Scales : The Three Jugs

The Three Jugs (Posted on 2003-08-18)

You have a 12 litre jug, an 8 litre jug, and a 5 litre jug. None of the jugs have any markings on them. The 12 litre jug is full, and the other two are empty.

How can you divide the 12 litres of water in such a way that two of the jugs (the 12 litre and the 8 litre jugs) have exactly 6 litres of water in them, and the third (the 5 litre jug) is empty?

Submitted by Ravi Raja

Rating: 3.0000 (15 votes)

Solution: (Hide)

Fill the 8 liter jug with the 12 liter jug, leaving 4 liters in the 12 liter jug.
Fill the 5 liter jug with the 8 liter jug, so that there are 3 liters remaining. Empty the 5 liter jug into the 12 liter jug. Now there are 9 liters in the 12 liter jug and 3 liters in the 8 liter jug.
Pour the 3 liters from the 8 liter jug into the 5 liter jug. Now fill the 8 liter jug with water from the 12 liter jug, leaving 1 liter in the 12 liter jug.
Fill the 5 liter jug (which already has 3 liters in it) from the 8 liter jug, leaving 6 liters in the 8 liter jug.
Empty the 5 liter jug into the 12 liter jug. Now there are 6 liters in the 12 liter jug, 6 liters in the 8 liter jug, and the 5 liter jug is empty.
Also, DJ presented a table here that shows the seven steps to the simplest solution:
12 8 5 ------------ 12 0 0 4 8 0 4 3 5 9 3 0 9 0 3 1 8 3 1 6 5 6 6 0

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Solution	K Sengupta	2022-08-18 22:29:30
Trade Jugs	john	2005-04-06 17:03:21
Finally got it!	Jim	2004-09-29 15:32:24
Just like the movies...	Erik O.	2004-06-09 10:31:52
Reminds me of gradeschool	jon&lilet	2004-04-16 04:30:50
Aby's Solution	abhishek	2004-04-03 22:13:19
Splish splash	Larry	2004-03-06 16:12:22
let me try!	manuel	2003-12-15 01:27:02
this is easy	krdmt5_000	2003-11-20 16:24:57
3 jugs, one cycle	Lawrence	2003-08-23 05:50:45
Solution	Shelly	2003-08-22 09:25:53
sloution	snapp	2003-08-20 12:50:32
Solution	FatBoy	2003-08-18 10:23:33
Solution	DJ	2003-08-18 09:55:13
solution	exoticorn	2003-08-18 08:36:36

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info