[CV048] Cats and Mice

Puzzle

Five cats can catch five mice in five minutes.

With that in mind, how many cats does it take to catch 100 mice in 100 minutes?

Hints

Solution

Incorrect

Too bad!

If five cats catch five mice in five minutes, it would seem to suggest that 100 mice will be caught by 100 cats in 100 minutes, but is that really the right answer?

Correct

Five cats.

Five cats can catch five mice in five minutes. If the mouse hunt continues another five minutes, you can expect a total of 10 mice to get caught. In other words, the same five cats catch 10 mice in 10 minutes, and 20 mice in 20 minutes. It's simply a matter of how long the five cats work.

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