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