Is it actually possible to place precisely 4 gallons of water in a 5 gallon jug using a 3 gallon jug? If so, can anyone explain it?

https://www.youtube.com/watch?v=BVtQNK_ZUJg


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Fill the 5 gallon bucket.

You are watching: You have a 5 and 3 gallon jug

Pour water from the 5 gallon bucket into the 3 gallon bucket. You should now have 2 gallons in the 5g bucket.

Empty the 3g bucket and pour the 2g in the 5g bucket into the 3g bucket.

Fill the 5g bucket.

Pour water from the 5g bucket into the 3g bucket. Since the 3g bucket already has 2g in it, there's only room for another 1g.

Voila. You now have 4g in the 5g bucket.


What I never understood is that the dude never told them where to fill to. Could have easily been that the fill mark was at the base of the neck, or at the edge of the top of the jug. Could have really made a mess of things.

"There. We saved the day"

"That was some good thinking there Zeu-"

BOOM


Take the 3 gallons, pour into the 5 gallon, then do it again so you have a full 5 gal jug. Now you have 1 gal left in the 3 gal jug, pour out the full 5 jug, replace it with the one remaining gallon in the 3 gal jug, then fill the 3 gal again and pour it into the 5 gal and voila, 4 gals


You pee 80% of the fluids you take in, therefore:

Fill the 5 gallon bucket.

Drink the 5 gallon bucket.

Wait.

Pee into the 5 gallon bucket.

Viola. You now have 4 gallons in the 5 gallon bucket.


Using the 3 gallon jug, put 3 gallons in the 5 gallon jug. Then refill the 3 gallon jug and top off the 5 gallon jug. Now you have 1 gallon left in the 3 gallon jug. Now dump out the 5 gallon jug, empty the 1 gallon of water in the 3 gallon jug in to the 5 gallon jug. Lastly, refill the 3 gallon jug and pour it in to the 5 gallon jug, which will give it 1+3 gallons, or 4 gallons.


Precisely? No. If that was a bomb that needed exactly 4 gallons, it would have exploded. You can come close to 4 gallons though. The idea is that its a hypothetical brain teaser and would ignore things like spilling and such.

The answer to the question is:

Fill 5 gallon jug and pour what you can into the 3 gallon jug. This leaves 2 gallons in the 5 gallon jug.

Empty 3 gallon jug. Pour remaining 2 gallons from the 5 gallon jug into the 3 gallon jug. This leaves 1 gallon of space remaining in the 3 gallon jug. I think you can figure it out from here but just in case...

Fill 5 gallon jug and top off the 3 gallon jug. Since there was only 1 gallon of space, you should be left with 4 gallons in the 5 gallon jug.

Another way of doing it is:

Fill 3 gallon jug. Dump it into 5 gallon jug.

Fill up 3 gallon jug again, and top off the 5 gallon jug, leaving 1 gallon in the 3 gallon jug.

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Dump the 5 gallon jug and pour remaining gallon into 5 gallon jug. Fill the 3 gallon jug again and add it to the 1 gallon in the 5 gallon jug, giving you 4 gallons.