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Little work problem help please [#permalink]
14 Aug 2003, 04:21

I know this one has been posted before, but could someone take me through the steps to get the answer.

Working together, A and B can do a job in 6 days. B and C can do the same job in 10 days, while C and A can do it in 7.5 days. How long will it take if all A, B and C work together to complete the job?

A. 8 days
B. 5 days
C. 3 days
D. 7days

This is new, but is this correct?

3 workers together take 18 hours to complete a job. If a worker is added, who works at the same rate, how long will it take the four of them to complete the job? Second if 3 workers take 18 hours to complete the job, how long will it take 2 workers to do the job if one leaves due to disability?

would the first part be 13.5 hours and the second part be 27 hours?

For the second part you are correct, but you seem unsure of your answer. I will explain.

If three workers acan do this job together in 18 hrs, they they each take 54 hrs to do it alone.
So the answer to the first part is 4/54 = 1/x = 54/4 = 13.5.

And the second is just 2/54 = 1/x = 54/2 = 27.

Good joob Rich, you had the intuition - next will come the confidence!!

Nothing hard for you guys. What I saw was pretty much like my first post where you have x workers and one leaves/ or is added and you have to figure out how long the job will take. I'm kicking myself for not buying the Kaplan 800 book because some of the hard problems I missed are concepts that are covered in that book.

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