# A and B can do a work in 18 days B and C in 24 days and A and C in 36 days. In what time can they do it , all working together?

1
by smartygirl

Log in to add a comment

by smartygirl

Log in to add a comment

therefore, (A+B)'s 1 day work=1/18

(B+C) work in 24 days

therefore (C+B)'s 1 day work= 1/24

(A+C) work in 36 days

therefore (A+C)'s 1 day work= 1/36

therefore,(A+B+B+C+A+C)'s 1 day work=1/18 + 1/24 + 1/36=9/72

2(A+B+C)=1/8

a+B+C=1/16

therefore,A,B,C do the work together in 1/(1/16)=16 days....