If 3 Cats Catch 3 Mice in 3 Minutes, How Many Cats Catch 6 Mice in 6 Minutes?

This logic puzzle asks: If 3 cats catch 3 mice in 3 minutes, how many cats are needed to catch 6 mice in 6 minutes? From the first statement, 3 cats catch 3 mice in 3 minutes, so each cat catches 1 mouse in 3 minutes. In 6 minutes, each cat can catch 2 mice at the same rate. To catch 6 mice in 6 minutes, you would therefore need 3 cats. The answer is 3 cats. A common mistake is to double the number of cats because both the mice and the time have doubled. But because the cats also have twice as much time, the same 3 cats can catch twice as many mice. The key is to think in terms of rate rather than just doubling every number.

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