   # How many days will take for A, B and C combined together to complete the same amount of work?

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A and B can complete a work in 12 days. B and C can complete the same work in 18 days. C and A can complete in 24 days. How many days will take for A, B and C combined together to complete the same amount of work? posted Jul 9, 2014
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## 2 Answers

+3 votes

1/a+1/b = 1/12
1/b+1/c = 1/18
1/c+1/a = 1/24

so
2(1/a+1/b+1/c) = (6+4+3)/72
or 1/a+1/b+1/c = 13/(2*72)

or A , B and C together can finish in 144/13 or 11.1 days. answer Jan 30, 2015
–1 vote

a+b=12
b+c=18
c+a=24
a+b+c=(12+18+24)/2
= 27 answer Jan 30, 2015
Sir check if a and b are finishing in 12 days the a b and c should be less then 12 :)

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