Question
A man is at a river with a 9 gallon bucket and a 4 gallon bucket. He needs exactly 6 gallons of water.


How can he use both buckets to get exactly 6 gallons of water?

Note that he cannot estimate by dumping some of the water out of the 9 gallon bucket or the 4 gallon bucket
Answers
Answer

For the sack of explanation, let's identify 4 gallon bucket as Bucket P and 9 gallon bucket as Bucket 1.

Operation 4 gallon bucket
(Bucket P) 9 gallon bucket
(Bucket Q)
Initially 0 0
Fill the bucket Q with 9 gallon water 0 9
Pour 4 gallon water from bucket Q to bucket P 4 5
Empty bucket P 0 5
Pour 4 gallon water from bucket Q to bucket P 4 1
Empty bucket P 0 1
Pour 1 gallon water from bucket Q to bucket P 1 0
Fill the bucket Q with 9 gallon water 1 9
Pour 3 gallon water from bucket Q to bucket P 4 6

9 gallon bucket contains 6 gallon of water, as required.   Your Comment




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