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Problems > High School Math > 2007

Buckets and Springs

1. The classic "Three Jugs" problem: Two friends who have an eight-quart jug of water wish to share it evenly. They also have two empty jars, one holding five quarts, the other three. How can they each measure exactly 4 quarts of water?

 

Source: Cut-the-knot, who attributes the puzzle to Siméon Denis Poisson.

 

 

2. 3 people carry 5 pails (each with capacity 8L) to a place where there are 3 springs. One of the springs gives 2L/minute and the other two give 1L/minute. It is not possible to use one spring to fill two pails simultaneously. It takes less than 2 minutes and more than 1 minute to take a pail from one spring to another. What is the shortest time it takes for them to fill all five pails? How?

 

 

Source: unknown

 



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