Question 1145230: If three cats catch three rat in three minutes, how many cats will catch 100 rats in 100 minites
Found 3 solutions by josmiceli, greenestamps, ikleyn:
Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website! Three cats catch three rats in three minutes
1/3 as many cats catch 1/3 as many rats in the same time, so
1 cat catch 1 rat in 3 min
100 cats catch 100 rats in 3 min
It will take 3 times as many cats to catch 100 rats in 1/3 that time, so
300 cats catch 100 rats in 1 min
In 100 min, it only takes 300/100 cats to catch 100 rats, so
3 cats catch 100 rats in 100 min
Answer by greenestamps(13198)  (Show Source):
You can put this solution on YOUR website!
The easiest path to the answer is logical reasoning.
From the first scenario to the second, the number of rats and the number of minutes are both increased by the same factor (100:3); that means the number of cats required is the same.
ANSWER: 3 cats
(Realistically, however, I think the cats would get rather tired after about 5 or 6 rats....)
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Added later....
You have seen three very different good ways to solve the problem. When you have more problems like this to solve, try the different methods and find what "works" for you....
Answer by ikleyn(52776)  (Show Source):
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