Answer / guest

Here is the solution with 10 gallon water wastage.

OPERATIONS 6 6 11

Fill 6 gallon bucket with water 6 0 0

Empty 6 gallon bucket into 11 gallon bucket 0 0 6

Fill 6 gallon bucket with water 6 0 6

Fill 11 gallon bucket to full using filled 6 gallon bucket.
This will leave 1 gallon water in 6 gallon bucket 1 0 11

Empty 11 gallon bucket into second 6 gallon bucket. 1 6 5

Empty 11 gallon bucket - wastage of 5 gallon water 1 6 0

Empty second 6 gallon bucket into 11 gallon bucket 1 0 6

Fill seccond 6 gallon bucket with water 1 6 6

Fill 11 gallon bucket to full using filled second 6 gallon
bucket. This will leave 1 gallon water in second 6 gallon
bucket 1 1 11

Fill first 6 gallon bucket with 1 gallon water which is in
second 6 gallon bucket 2 0 11

Empty 11 gallon bucket into second 6 gallon bucket. 2 6 5

Empty 11 gallon bucket - wastage of 5 gallon water 2 6 0

Fill 11 gallon bucket with water in both the 6 gallon
buckets 0 0 11

Answer / bskate

The question never states you can or can not split the
buckets. It only states you have 3 unmarked buckets.
Logically the 2 smaller buckets would be the six gallon
buckets. So you would fill the 11 gallon bucket up once and
start emptying it into one of the six gallon buckets until
the 6 gallon bucket was half full (3 gallons) leaving you 8
gallons in your original bucket. The waste would be 3 gallons.

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