Perfect measurement

Logic Level 1

There are 2 jars. One jar is containing 5 liter of water and the another jar is containing 3 liter of water.

Can you measure exactly 4 liter water using these two jars of water?

Note: You have only these jars. You cannot use any other things for measuring 4 liter of water.

Yes No

S.M. Zubair by S.M. Zubair , 18, Bangladesh

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2 solutions

Roger Erisman
Dec 19, 2018

(0,0) fill 5

(0,5) fill 3 from 5

(3,2) dump 3

(0,2) pour 2 into 3

(2,0) fill 5

(2,5) fill 3 from 5

(3,4) done

3 Helpful 0 Interesting 0 Brilliant 0 Confused
Henry U
Dec 19, 2018

( a , b ) (a,b) denotes a a liters in the 3L-jar and b b liters in the 5L-jar.

You have to do the following steps:

\begin{alignat}{2} 1 & \quad& (0,0) & \quad \quad \quad& \text{fill 3L} \\ 2 && (3,0) && \text{3L into 5L} \\ 3 && (0,3) && \text{fill 3L} \\ 4 && (3,3) && \text{3L into 5L} \\ 5 && (1,5) && \text{empty 5L} \\ 6 && (1,0) && \text{3L into 5L} \\ 7&& (0,1) && \text{fill 3L} \\ 8 && (3,1) && \text{3L into 5L} \\ 9 && (0,4) && \text{finished!} \end{alignat}

So, it is possible in 8 steps.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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