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Who is the fastest among the three workers a, b and c? (1) a

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Senior Manager
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Who is the fastest among the three workers a, b and c? (1) a [#permalink]  17 Jan 2004, 17:55
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Who is the fastest among the three workers a, b and c?

(1) a and b together take 12 hours to complete a job
(2) a, b and c working together can complete the job in 6 hours
Manager
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E? A, B and D are ruled out. of C and E, C is ruled out becoz we can find out that a and b can finish in 12 hrs and c alone in 12 hrs but we cant find out the fastest between a and c. Need more data.
Senior Manager
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rakesh1239 wrote:
E? A, B and D are ruled out. of C and E, C is ruled out becoz we can find out that a and b can finish in 12 hrs and c alone in 12 hrs but we cant find out the fastest between a and c. Need more data.

I choose to differ. I would like to go with C

With C, we know that c alone can finish the job in 12 hours whereas a and b together takes 12 hours. If a and b TOGETHER take 12 hours, that means for all those 12 hours they both will be working and then only they will be able to finish. This will lead to the conclusion that if any of them works independently, he/she will take more than 12 hours to finish the job. So this indicates that c is the fastest.

Manager
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I am caught, ur rite. Yeah both A and B together take 12 hrs which means working alone they take more than 12 hrs
Director
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Not so fast!

If A or B does not do any work, then we have a tie.
Then who is the fastest?
BTW, what is the source of the question.
Senior Manager
Joined: 11 Nov 2003
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Location: Illinois
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Not so fast!

If A or B does not do any work, then we have a tie.
Then who is the fastest?
BTW, what is the source of the question.

I know this is the explanation given in the official answer, but I do not agree with that exaplantion. Why do we have to worry about whether A and B actually worked or not. Had the question been "who finished the work fastest", I would have agreed with the explanation you are giving. But we just need to decide who is fastest based on the given information. That means whoes speed is maximum. (as one characteristic)

The problme has just two statements of facts. Based on that facts, we just have to tell what is the conclusion. For example, if I tell you that I can do a job in 20 hours and you can do the same job in 10 hours, who is faster? The answer should be you. On the other hand if I ask you who will finish the job faster or if the work is already done, who finished the job faster, then I think we do not have any way to answer that. In that case your explanation will hold true.

Please let me know what you think. Thanks
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