A and B can do a piece of work in 15 days; B and C in 12 days; C and - Maths -

Question

A and B can do a piece of work in 15 days; B and C in 12 days; C
and A in 20 days How many days will be taken by A, B and C working
together to finish the work?

Global Expert · Accepted Answer

(A+B) can do a work in 15 days
∴ (A+B)'s 1 day work = 115(B+C) can do a work in 12 days
∴ (B+C)'s 1 day work = 112(C+A) can do a work in 20 days
∴ (C+A)'s 1 day work = 1202(A+B+C)'s 1 day work =115+112+120=4+5+360=1260=15(A+B+C)'s 1 day work = 110A, B and C working together require 10 days to complete the work

A and B can do a piece of work in 15 days; B and C in 12 days; C and A in 20 days. How many days will be taken by A, B and C working together to finish the work?