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THREE CATS

If three cats catch three rats in three minutes how many cats will catch 100 rats in 100 minutes? SOLUTION

The usual answer to this old conundrum is as follows: If three cats catch three minutes it takes three rats, should take a minute to catch, each rat. And if it takes one minute to catch a rat, then the same three cats hunt 100 rats in 100 minutes.

Unfortunately, it is so simple that answer certainly implies something that is not expressed in the problem. Assumes that three cats have focused their attention on the same rat to hunt in a minute, then set to devote another rat. But suppose that instead of doing that every cat hunts a rat different and will take three minutes to catch it. In that case, three cats, three rats continue hunting in three minutes. It would take six minutes to hunt six rats, nine minutes nine hunt rats, 99 and 99 minutes to hunt rats.

Now we face a peculiar difficulty. How long did it take those three cats hunt rats number 100? If they are still hunting three minutes boll weevil, so the three cats to hunt 102 minutes will delay the 100 rats. To catch one hundred rats in one hundred minutes - if that be the way that cats hunt their rat-certainly need more than three cats and less than four.

Of course, it is possible that when the three cats are concentrated on the same rat, may be cornered in less than three minutes, but nothing in the problem statement tells us how we can measure exactly the time that demand that operation. The only correct answer to the problem, then, is this: the question is ambiguous and can not be answered if there is no more information about how these cats hunt rats.