Main Question or Discussion Point
i know this seems simple, and perhaps it's a trick, but i'm confused! is the answer 100?
No it's not. The cats are all eating at the same time, aren't they ? Just picture a row of cats eating :yuck: mice. They all start at the same time, and finish at the same time. How much time has elapsed ?Horror Business said:i know this seems simple, and perhaps it's a trick, but i'm confused! is the answer 100?
3 minutes.Horror Business said:i know this seems simple, and perhaps it's a trick, but i'm confused! is the answer 100?
Well, that depends on if it still counts if a cat vomits up previous mice and continues eating, or if you have to factor in cat stomach volume, or how much time is lost to vomiting up previously eaten mice.tribdog said:how many mice can one cat eat in 100 minutes? 1 cat eats 100/3 mice. 100mice/(100/3micepercat)=3cats
I doubt the author of the original question considered it either. It's a good proof of how out of touch mathematicians are with reality. They think just because 3 cats can eat 3 mice in 3 minutes, those same cats can just keep eating at the same rate and finish off 100 mice in 100 minutes. But, that's 33 1/3 mice per cat in 100 minutes, so it raises a lot of problems in reality. 33 1/3 mice is a lot of mice for a cat. You'll definitely be finding lots of vomited mouse bits on the carpet if the cat tries to eat that many mice. And, how do they work out that 1/3 mouse each? If they are fighting over the last mouse, it might take a long longer to eat that one. Plus, once the cat is full, they probably won't be very fast at chasing mice, they will go take a nap for a hour or so, during which time the mice could be running across their tails and they still wouldn't get up and chase them. And even if they kept eating (more typical of a dog than a cat though), they'd get slower and slower as they got fuller, playing with their food more before eating it. You need to factor in the changing rate of eating with fullness. See, this is an amazingly complex problem in reality, but I'm sure some math teaching writing the question wasn't aware of thattribdog said:I didn't think of the cat vomiting.
Ah, you've beat me at my own game...but of course, cat is a very generic term and I was foolishly assuming a house cat. 33 1/3 mice in 100 minutes would be no problem at all for a large cat like a lion or tiger, at least assuming they aren't ob/ob mice (those are the ones with a genetic mutation that allows them to get VERY fat).vikasj007 said:but still i think that it possible for three extremely large cats,( maybe, lions) to eat 33 1/3 mice without vomiting.
so, it was not such an unrealistic problem after all.
Well, after 99 mice, the cats won't be so hungry, and will peacefully share the last one.RandallB said:Four or more Cats
3 cats would eat 99 mice in 99 minutes.
Only one cat would be able to get the the last one and would not be able to eat it within the remaining one minute.
So it would take 4 or more cats to eat 100 mice "in" (within) 100 minutes.
Well I figure it will take 3 cats about 5 minutes just to agree to share and even more time to agree on making a fair split. So the best chance is if the big cat get the last mouse. And after 33 mice they will all be large kittys. And even with there best chance it will still take 102 minutes to do the job.Rogerio said:Well, after 99 mice, the cats won't be so hungry, and will peacefully share the last one.
So, its gonna take only 3 cats to do the job :-)
I missed your units there - is that in Cat Strings or Cat Tails?phreak said:And I simple got 3334
I hope alive they don't eat so well when they're dead.Gokul43201 said:Or are those Schrodinger's cats ?