The answer depends on the flow rate or the water pressure, not just the pipe size.
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you fill the five gallon then dump three of that into the three gallon so you have 3 in the 3 and 2 in the 5 then you dump out the three and fill the 3 with the remaining two gallons and fill the 5 completely so you have a combined 7 gallons.
Notation: ( x , y ) where x is the amount of water in the 3-gallon container and y is the amount of water in the 5-gallon container1. Fill the three-gallon container ( 3 , 0 )2. Pour the three gallons into the 5-gallon container ( 0 , 3 )3. Fill the three-gallon container ( 3 , 3 )4. Fill the five-gallon container with the three-gallon container, leaving 1 gallon in the three gallon container ( 1 , 5 )5. Pour out the water from the five-gallon container ( 1 , 0 )6. Pour the water from the three-gallon container into the five-gallon container ( 0 , 1 )7. Fill the three-gallon container ( 3 , 1 )8. Pour the water from the three-gallon container into the five-gallon container ( 0 , 4 )Another great answer here:[See below for the related link]
One quart
4,892
Fill the 5 gallon jug completely then pour that into the 3 gallon jug. Empty out the 3 gallon jug and pour the remaining water in the 5 gallon jug into the 3 gallon jug. Then just fill up the 5 gal jug again you will have 2 gallons in the 3 gallon jug and 5 gallons in the 5 gallon jug.