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A Better Mousetrap (Posted on 2004-01-20) Difficulty: 4 of 5
The following question was asked on a math test:
If 6 cats kill 6 rats in 6 minutes, how many will be needed to kill 100 rats in 50 minutes?

Ryan answered 12, Stefanie said 13, and Tom put down 14 for his answer. After looking at their work, the teacher decided to give all three students credit.

What were the arguments that each student made?

See The Solution Submitted by DJ    
Rating: 4.1818 (11 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): 2/3 of an answer | Comment 9 of 12 |
(In reply to re: 2/3 of an answer by Brian Wainscott)

Hi Brian. I think Tom is accounting for the cats being grossly outnumbered in the beginning. In fact, if the cats were only slightly bigger and tougher than the rats, you could argue that you need a 1-to-1 ratio for the cats to kill any rats at all, regardless of the time alotted (unless it's like a kung fu movie where they come at you one at a time).
  Posted by dave domingo on 2004-01-27 09:55:08

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