A and B can do a piece of work in 18 days , B and C can do it in 24 days while C and A can finish it in 36 days . In how many days can A ,B and C finish it , if they all work together?
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A,B & C can together do the work in 16 days .
Work done by A+ B in one day = 1/18
work done by B + C in one day = 1/24
work done by C + A in one day = 1/36
∴work done by A+B+C in one day = (1/18 + 1/24 + 1/36) / 2
= 9/72 × 1/2
= 1/8 × 1/2
= 1/16
So, total time taken to complete work by A,B and C together = 16 days
I hope it will help you .
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