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 A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?

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 A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?

A). 160/11 days

B). 125/14 days

C). 180/13 days

D). 120/11 days


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Answered by on | Votes 0 |

180/13 days



One day work of A and B = 1/12

One day work of B and C = 1/30

One day work of C and A = 1/36

2(A + B + C) = 1/12 + 1/30 + 1/36

2(A + B + C) = 13/90

(A + B + C) = 13/180

Number of days required = 180/13 days.

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