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A can do a piece of work in 10 days, B can do it in 20 days and C in 30 days. Three of...

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roshanbht | Student | eNoter

Posted May 6, 2013 at 2:10 PM via web

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A can do a piece of work in 10 days, B can do it in 20 days and C in 30 days. Three of them started the work together. A left the work after 4 days and C left it some days before completion. If the work is completed in 46/5 days, for how many days did C work?

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted May 6, 2013 at 2:21 PM (Answer #1)

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A can do a piece of work in 10 days, B can do it in 20 days and C in 30 days. The rate at which A completes the work is 1/10, for B it is 1/20 and for C it is 1/30.

All three of them started the work together. A left the work after 4 days and C left it some days before completion. The total time taken to complete the work is 46/5 days. Let the number of days that C worked for be D.

4*(1/10) + (46/5)*(1/20) + D*(1/30) = 1

=> 24 + 138/5 + 2*D = 60

=> D = 42/10

The number of days C worked for is 4.2

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