If 3 cats take 3 minutes to catch 3 mouses, how many cats are needed to catch 100 mouses in 100 minutes ?
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You also need 3 cats.
If 3 cats take 3 minutes to catch 3 mouses, it means each cat takes 3 minutes to catch its own mouse. In 100 minutes, each of those cats will catch on average 33.333… mouses. So 3 cats are enough to catch 100 mouses in 100 minutes.
Said differently, if 3 cats take 3 minutes to catch 3 mouses, these 3 cats catch 1 mouse/minute. At that rate, they will capture 100 mouses in 100 minutes.