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They're supposed to eat at the same time. :D
I like Serena said:You're all reading the question wrong.
3 cats eat 3 mice in 3 minutes, so each cat eats 1 mouse in 1 minute.
The answer is that 1 cat eats 100 mice in 100 minutes.
This must be the proper answer, because the other interpretation leaves us with a 1/3 mouse that gives ambiguity in the answer and a solution should not be ambiguous.
dextercioby said:They're supposed to eat at the same time. :D
I like Serena said:I thought each cat had 3 mice to eat, making a total of 9 mice.
The wording of the question does not seem to prohibit that.
That is: 3 cats eat 3 mice (each) in 3 minutes.
DaleSpam said:So it is 3 cat-minutes per mouse, which means 300 cat-minutes for 100 mice. To accomplish 300 cat-minutes of work in 100 minutes requires 3 cats working in principle. However, this is not taking into account the overhead required for team meetings, paperwork, and management, so you need a manager, an extra worker, and a secretary cat for a total of 6 cats. Of course, while one of these expert cats may eat one mouse in 3 minutes for very little reward eating 2 mice in 6 minutes requires more incentives and 3 mice in 9 minutes even more. What is more is that the incentives become much more expensive as the number of mice in a single shift increases. The company had to hire a financial cat to determine the best allocation of resources, and he determined that after 4 mice the incentives become too expensive, so about 25 cats are needed. Now, in principle 25 cats could accomplish the job in about 12 minutes, leaving each cat 88 minutes to spare. So the original manager cat was promoted to upper management decided to recruit "working managers" from within the pool of worker cats and have the worker cats take on most of the additional paperwork requirements that such a large workforce generates. So the final tally is 28 cats.
Good point, I figured that cats wouldn't have a union, being cats, but I didn't consider lobbies and regulations.jarednjames said:If these are British cats then with an expansion of such magnitude you'd be looking at having at least one HSE executive on top of that. Wouldn't want to get sued for violating safe working practices now would you.
DaleSpam said:So it is 3 cat-minutes per mouse, which means 300 cat-minutes for 100 mice. To accomplish 300 cat-minutes of work in 100 minutes requires 3 cats working in principle. However, this is not taking into account the overhead required for team meetings, paperwork, and management, so you need a manager, an extra worker, and a secretary cat for a total of 6 cats. Of course, while one of these expert cats may eat one mouse in 3 minutes for very little reward eating 2 mice in 6 minutes requires more incentives and 3 mice in 9 minutes even more. What is more is that the incentives become much more expensive as the number of mice in a single shift increases. The company had to hire a financial cat to determine the best allocation of resources, and he determined that after 4 mice the incentives become too expensive, so about 25 cats are needed. Now, in principle 25 cats could accomplish the job in about 12 minutes, leaving each cat 88 minutes to spare. So the original manager cat was promoted to upper management decided to recruit "working managers" from within the pool of worker cats and have the worker cats take on most of the additional paperwork requirements that such a large workforce generates. So the final tally is 28 cats.
jarednjames said:No, if it meant each it would have said each. That completely changes the question.
DaleSpam said:So it is 3 cat-minutes per mouse, which means 300 cat-minutes for 100 mice. To accomplish 300 cat-minutes of work in 100 minutes requires 3 cats working in principle. However, this is not taking into account the overhead required for team meetings, paperwork, and management, so you need a manager, an extra worker, and a secretary cat for a total of 6 cats. Of course, while one of these expert cats may eat one mouse in 3 minutes for very little reward eating 2 mice in 6 minutes requires more incentives and 3 mice in 9 minutes even more. What is more is that the incentives become much more expensive as the number of mice in a single shift increases. The company had to hire a financial cat to determine the best allocation of resources, and he determined that after 4 mice the incentives become too expensive, so about 25 cats are needed. Now, in principle 25 cats could accomplish the job in about 12 minutes, leaving each cat 88 minutes to spare. So the original manager cat was promoted to upper management decided to recruit "working managers" from within the pool of worker cats and have the worker cats take on most of the additional paperwork requirements that such a large workforce generates. So the final tally is 28 cats.
I like Serena said:How do you know?
If the question had been stated properly, it would read either:
A. 3 cats eat a total of 3 mice in 3 minutes, ...
B. 3 cats eat 3 mice each in 3 minutes, ...
As it is, I believe the semantics allow for either interpretation.
Horror Business said:i know this seems simple, and perhaps it's a trick, but I'm confused! is the answer 100?