Question

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?

Answer 1

Solution:

(A + B)'s 1 day work = 1/12......(1)

(B+C)'s 1 day work = 1/18.........(2)

(A+C)'s 1 day work = 1/24..........(3)

Adding (1) , (2) & (3)

(A+ B)+(B+C)+(A+C)
=1/12 +1/18 +1/24

A+B+B+C+A+C=216/72.....(l.c.m)

2A+ 2B+2C =1/3

2(A+B+C)=1/3

A + B + C = 1/3 ×1/2

(A + B + C)'s 1 day work = 1/6

Hence,

A ,B & C together would take
6days to complete the work

hope this yelps ! ! !#