A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days.

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?

Quiz

Answer/Solution

180/13 days.

Steps/Work

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

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