Brain Teasers
Water Juggling
Here's what you have:
-Two 8-liter jugs, filled with water
-One 3-liter jug, empty
-Four infinite size, empty pools
Here's what your objective is:
Fill each of the four pools with exactly 4 liters of water.
Here are your constraints:
-You have nothing else at your disposal.
-There is no other water aside from the two 8-liter water filled jugs.
-Once water is poured into any of the 4 pools it cannot be removed from there.
-The jugs are not symmetric so you cannot measure amount by eye or judge based on shape.
-Two 8-liter jugs, filled with water
-One 3-liter jug, empty
-Four infinite size, empty pools
Here's what your objective is:
Fill each of the four pools with exactly 4 liters of water.
Here are your constraints:
-You have nothing else at your disposal.
-There is no other water aside from the two 8-liter water filled jugs.
-Once water is poured into any of the 4 pools it cannot be removed from there.
-The jugs are not symmetric so you cannot measure amount by eye or judge based on shape.
Hint
I am not sure how to help you :). I solved this in 24 steps (you may have more or less). It helps to label the jugs and pools, and then draw. Oh, main key, try to work backwards, from filled pools, and see what final steps are even possible.Answer
It's not short but it's right - use a piece of paper and follow the steps using A, B, C and pools. Change the quantities in each as you complete each step - it is worth it to see it come out right.Lets label the jugs.
Jug A - first 8-liter
Jug B - second 8-liter
Jug C - 3-liter.
The four infinites are pool 1, pool 2, pool 3, and pool 4.
1. Jug A to Jug C
2. Jug C to pool 1
3. Jug A to Jug C
4. Jug A to pool 2
5. Jug C to Jug A
6. Jug B to Jug C
7. Jug C to Jug A
8. Jug B to Jug C
9. Jug C to Jug A
At this point, we have:
Jug A - 8
Jug B - 2
Jug C - 1
Pool 1 - 3
Pool 2 - 2
Pools 3&4 - empty
10. Jug C to pool 3
11. Jug B to Jug C
12. Jug A to Jug C
13. Jug C to Jug B
14. Jug A to Jug C
15. Jug C to Jug B
16. Jug A to Jug C
17. Jug A to pool 4
At this point, we have:
Jug A - 0
Jug B - 6
Jug C - 3
Pool 1 - 3
Pool 2 - 2
Pool 3 - 1
Pool 4 - 1.
18. Jug C to Jug B
19. Jug C to pool 1
20. Jug B to Jug C
21. Jug C to pool 3
22. Jug B to Jug C
23. Jug C to pool 4
24. Jug B to pool 2
... And we end up with the desired result:
Jug A - 0
Jug B - 0
Jug C - 0
Pool 1 - 4
Pool 2 - 4
Pool 3 - 4
Pool 4 - 4
Tough, but workable.
Hide Hint Show Hint Hide Answer Show Answer
What Next?
View a Similar Brain Teaser...
If you become a registered user you can vote on this brain teaser, keep track of which ones you have seen, and even make your own.
Solve a Puzzle
Comments hidden to avoid spoilers.
Follow Braingle!