Jug Puzzle
You have three jugs; and empty four cup jug, and empty five cup jug, and a full ten cup jug.
You need to end up with three cups of water in the ten cup jug.
You can only measure accurately by filling a jug up all the way. For example, you cannot fill the four cup jug up halfway and call it two cups.
You have no more water to add, and you cannot dump any water out.
So you can only dump water between jugs.
- Matthew Lauser
You need to end up with three cups of water in the ten cup jug.
You can only measure accurately by filling a jug up all the way. For example, you cannot fill the four cup jug up halfway and call it two cups.
You have no more water to add, and you cannot dump any water out.
So you can only dump water between jugs.
- Matthew Lauser
Labels: SharedPuzzle
posted by Mr Fahrenheit at
3:59 PM
21 Comments:
I will probably be able to post the answer next Monday. Have fun!
this will be a little difficult to follow but stay with me i wish i had a visual
pour the 10/10 to fill the 0/5
0/4 5/5 5/10
pour the 5/5 into the 0/4 leaving one in the five
4/4 1/5 5/10
pour the four back in to the ten
0/4 1/5 9/10
pour the five into the four
1/4 0/5 9/10
pour the ten into the five
1/4 5/5 4/10
pour the five into the four
4/4 2/5 4/10
pour the four back into the ten
0/4 2/5 8/10
pour the five into the four
2/4 0/5 8/10
fill the five once more
2/4 5/5 3/10
viola you can now change the amount of the other two if you want
fill up the four and five cup jugs and throw away the last cup-full in the ten cup jug. pour the four cup jug back into the ten cup jug and fill it up using the five cup jug. throw away the cup-full left in the five cup jug and pour the four cup jug into the five cup jug. fill up the five cup jug from the ten cup jug and there are three cups left in the ten cup jug.
oh, sorry, i didn't see your not allowed dump water.
go out, buy a 7cup jug, pour the water in to the 7 cup jug, there you go.
Cup
Pour 10 5 4
10 --> 4 = 6, 0, 4
4 --> 5 = 6, 4, 0
10 --> 4 = 2, 4, 4
4 --> 5 = 2, 5, 3
5 --> 10 = 7, 0, 3
4 --> 5 = 7, 3, 0
10 --> 4 = 3, 3, 4
ok, second attempt (duh...learn to read!).
fill the four cup jug and then pour that into the five cup jug. fill the four cup jug again (from the ten cup jug) and use it to fill up the five cup jug. pour the five cup jug back into the ten cup jug and pour the three cups that are in the four cup jug into the five cup jug. fill up the four cup jug from the ten cup jug and hey presto, you have three cups left in the ten cup jug.
Ok here a super smega easy one, fill the 4 up. pour the 4 into the 5, fill up the 4, then fill up the 5 with the 4 then ur left with 3/4. i guess that was an easier way
*Eric* it says you have to get 3 cups into left in the 10 cup jug. Your way gets 3 cups, but in the four cup jug.
fill the 4 up then pour it into the 5 jug. then refill the 4 jug and top up the 5 jug to leave 3 in the four jug then empty then 10 jug and pour the 4 jug (with 3 in) into the 10
OR
fill the 4 up pour it into the 5 then refill the 4. this leaves 4 in the 4 jug, 4 in the 5 jug and 2 in the 10 jug then pour out the 4 jug fill the 4 jug with the 5 jug leaving 1 in the 5 jug then pour that into the 10 jug
yeah, sorry didn't see that last part, but thanks for correcting me zack
YOU CANT "FILL UP" A JUG THE ONLY THING YOU CAN USE IS THE WaTER IN THE 10 CUP JAR!!!!
-Dump water from 10 cup jug into 5 cup jug until full
-Dump water from 5 cup jug into 4 cup jug and you are left with 1 cup of water in the 5 cup jug
-Dump water from 4 cup jug back into 10 cup jug unti jug is empty
-Dump water from 5 cup jug back into 4 cup jug... now you have 1 cup of water in the 4 cup jug and 9 cups in the 10 cup jug
-Dump water from the 10 cup jug into the 5 cup jug until full
-Dump water from the 5 cup jug into the 4 cup jug until the 4 cup jug is full - you are left with 2 cups of water in the 5 cup jug
-Dump water from the 4 cup jug back into the 10 cup jug until the 4 cup jug is empty
-Dump the two cups of water from 5 cup jug back into the 4 cup jug
-Repeat this process one more time...now there will be 3 cups of water in the 4 cup jug with the 5 cup jug empty
-Dump water from the 10 cup jug into the 5 cup jug until the 5 cup jug is full
DONE.... too easy!
dump 10 into 5
dump 5 into 4
dump 4 into 10
dump 10 into 5
dump 5 into 4
dump 5 into 10
dump 1/2 of 10 into 5
and there u go
4 3 3
pour 10 into 4
4/4 0/5 6/10
pour 4 into 5
0/4 4/5 6/10
pour 10 into 4
4/4 4/5 2/10
pour 4 into 5
3/4 5/5 2/10
pour 5 into 10
3/4 0/5 7/10
pour 4 into 5
0/4 3/5 7/10
pour 10 into 4
4/4 3/5 3/10
Done in 7 steps, without dumping water out and without guesstimating. Beat that!
10 to 5
5 to 4
5 to 10
1/2 of 10 to 5
4 steps no middle man
This is simple fill up the 5 cup jug then the four cup jug empty the 5 cup jug back in the 10 then use the four cup jug to fill the 5 cup jug use the 10 to fill the 4 top off the 5 and there ya go
Good job everyone!
Some of the answers were a bit long, but the shortest answer (therefore the one I use) is in there a few times. Good job coming up with your own (even if they were a bit long.
Matthew Lauser
The latest Anonymous entry is my answer, and I believe the shortest answer possible.
isint that the same riddel from die hard 3 when there in centeral park and try to stop the bomb
How should I know? I've never seen that.
I made it up myself based on other puzzles of a similar type.
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