8 liter 5 liter 3 liter puzzle

100% Simplified way to solve 8 liter 5 liter 3 liter puzzle

Inspiration:

Inspiration behind this set of posts is to provide simplified solution to the water measurement problems. This post will provide step by step guide to solve such problems with logic.

8 liter 5 liter 3 liter puzzle

Problem Statement: 

You have 3 water jugs, 8 liter water jug, 5 liter water jug and 3 liter water jug. 8 liter water jug is filled completely with water. Now we have to measure that water 4 liter each, that means we need to measure that water in 4, 4 liter in 2 different jugs.

Solution:

Here we need to measure 4,4 liter in 2 different water jugs. If we are able to measure 4 liter water in one jug then we will automatically get 4 liter left out water.

Step 1: Fill 5 liter jug from 8 liter jug and put 3 liter water into 3 liter jug.
Now,
8 liter jug will have 3 liter water.
5 liter jug will have 3 liter water.
3 liter jug will have 3 liter water.

Step 2: Put 3 liter water from 3 liter jug into 8 liter jug. Put remaining 2 liter eater from 5 liter jug to 3 liter jug.
Now,
8 liter jug will have 6 liter water.
5 liter jug will have 0 liter water.
3 liter jug will have 2 liter water.

Step 3: Fill 5 liter water jug from 8 liter water jug. Since 3 liter water jug has 1 liter empty capacity, put 1 liter water from 5 liter jug into 3 liter water jug.
 Now,
8 liter jug will have 1 liter water.
5 liter jug will have 4 liter water.
3 liter jug will have 3 liter water.

Step 4: Solved! Now put 3 liter water from 3 liter jug into 8 liter jug. Now 5 liter jug and 8 liter jug is holding 4 liter each.
 Now,
8 liter jug will have 4 liter water.
5 liter jug will have 4 liter water.
3 liter jug will have 0 liter water.

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Logic:

(5 * 2) - (3 *2) = 4

Which means that we need to fill 5 liter jug 2 times and empty it into 3 liter water jug 2 times we will arrive with the result.

Alternate solution:

(3 * 3) - (5 * 1) = 4

Which means fill 3 liter jug 3 times and empty 5 liter jug once, we will arrive with result.


Conclusion: 

We have explained the generic logic and conclusion in another post here.

Cheers !

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Few more similar difficult puzzles:

1. 5 liter and 3 liter puzzle
2. 10 7 3 liter puzzle
3. Water Jug Problem