Two Bottles Measuring Puzzle
You have two water bottles both empty, one with the capacity to hold 11 liters of water and the other 6 liters and an endless supply of water. What is the minimum number of moves required to get 9 liters?
Details and assumptions :
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Filling a bottle, emptying a filled bottle and transferring water from one bottle to another counts as a move.
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You have to transfer as many liters as you can from a filled bottle to another empty or partially filled bottle. For example, if the 11 liters bottle has 7 liters of water and the 6 liters bottle has 3 liters already filled, if you want to transfer water from the 11 liters bottle to the 6 liters bottle, the 11 liters bottle will have 4 liters and the 6 liters bottle will have 6 liters.
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While filling the bottle, you have to fill it to the bottle's maximum capacity.
The answer is 12.
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1 solution
Steps:-
1.Fill the 11 litre bottle. (11,0)
2.Transfer water to the 6 litre bottle from the 11 litre bottle. (5,6)
3.Empty the 6 litre bottle. (5,0)
4.Transfer water to the 6 litre bottle from the 11 litre bottle. (0,5)
5.Fill the 11 litre bottle. (11,5)
6.Transfer water to the 6 litre bottle from the 11 litre bottle. (10,6)
7.Empty the 6 litre bottle. (10,0)
8.Transfer water to the 6 litre bottle from the 11 litre bottle. (4,6)
9.Empty the 6 litre bottle. (4,0)
10.Transfer water to the 6 litre bottle from the 11 litre bottle. (0,4)
11.Fill the 11 litre bottle. (11,4)
12.Transfer water to the 6 litre bottle from the 11 litre bottle. (9,6)