Water
Written on 11:08 pm by Vja Students
A farmer needs 8 gallons of water. He has only three unmared buckets, two 6 gallon and one 11 gallon bucket.
How can he collect 8 gallons of water using three unmarked buckets? Provide solution with minimal water wastage.
Answer
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 |
first assume one 6 gallon bucket is empty.
so 6 6 11
5 6 6
5 1 11
2 4 11
2 6 9
finally pour 2 AND 6 gallons to get 8 gallons of water.
Valli, gallons are unmarked.
I got a solution wasting 12 gallons. There must be a better one.
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1st fill the 11 gallon bucket with water n thn fill 6 gallon bucket from the 11 gallon one....so 5 gallon of water is left in that bucket...thn fill the half of the 6 gallon bucket....
now v ve 8(5+3)gallons...