The classic pouring problems deal with one liquid, this one deals with two, water and oil. Properties of the oil and water are as follows:
- Oil floats on water.
- The water and oil never mix.
- The oil and water are both clear and can not be visibly distingushed.
- When pouring, the oil will always pour out before the water will.
- If water is poured into a jug containing oil, the water will sink down to the bottom.
- If oil is poured into a jug containing water, the oil will float on the water.

There is a 60 cup jug filled with 30 cups of water and 30 cups of oil. You also have three empty jugs with capacities of 43 cups, 11 cups and 7 cups to use.

Your task is to separate the oil from the water by pouring from jug to jug.

Example:
If your first move is to pour from the 60 cup jug to the 43 cup jug, the 43 cup jug will contain all 30 cups of oil and 13 cups of water.

1) pour enough from 60 cup to fill the 11 cup (that will be oil)

2) pour from 11 cup to fill 7 cup leaving 4 cup oil in 11 cup jug.

3)pour the 7 cup oil back into 60 cup jug and pour the 4 cups oil in 11 cup into 43 cup.

4)repeat steps 1 through 3 once more. Now there is 8 cups of oil in 43 cup jug.

5) pour from 60 cup jug into 11 cup to brim. and then pour those 11 cup oil into 43 cup jug.

6)repeate step 5 once more. And now there are 30 cups of oil in 43 cup jug and 30 cups of water in 60 cup jug

Posted by Okash Khuwajo on 2005-06-22 15:52:16