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Puzzle: Measure 4 litre of water with 3 and 5 litre bucket

+3 votes

This was the question of two buckets of 3 and 5 litres each. Now measure four litre. I had given 2 solutions but still he wanted 3 solution.
1st soln: fill 3 litre and then interchange in various ways to get 4 litre.
2nd soln: fill 5 litre and then interchange in various ways.

posted Oct 18, 2013 by anonymous

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1 Answer

+2 votes

1st Soln
1. Fill the 3-liter bottle and pour it into the empty 5-liter bottle.
2. Fill the 3-liter bottle again, and pour enough to fill 5-liter bottle. This leaves exactly 1 liter in the 3-liter bottle.
3. Empty the 5-liter bottle; pour the remaining 1 liter from the 3-liter bottle into the 5-liter bottle.
4. Fill the 3-liter bottle and pour it into the 5-liter bottle. The 5-liter bottle now has exactly 4 liters.

2nd Soln
1. Fill the 5-liter bottle and pour water from it into the 3-liter bottle until it is full.
2. This leaves 2 liters in the 5-liter bottle.
3. Empty the 3-liter bottle and pour the 2 liters of water from the 5-liter bottle into the 3-liter bottle.
4. Fill the 5-liter bottle again.
5. Fill the 3-liter bottle from the 5-liter bottle. Since the 3-liter bottle had 2 liters of water, only one liter is transferred leaving exactly 4 liters of water in the 5-liter jug.

answer Oct 18, 2013 by Salil Agrawal

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