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The Best Performer

Best Answer bushindo, 15 May 2013 - 12:52 AM

Anna (A), BIll (B), Cindy ©, and Dante (D) work on a project.

Together, A, B, and C can complete it in 10 days.

Together, B, C, and D can complete it in 11 days.

Together, C, D, and A can complete it in 12 days.

Together, D, A, and B can complete it in 13 days.


Who is the best performer?  Prove your answer.


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#11 BMAD


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Posted 17 May 2013 - 04:32 AM



Let a, b, c, and d stand for the fraction of a project that A, B, C, and D can do within each day, respectively.
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I like your answer.  It is interesting how in America this problem is solved differently from my home country.



I'm intrigued. How do people from your country solve this problem?




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