Question

A and b together can complete a piece of work in 18 days, b and c in 24 days and a and c in 36 days. In how many days, will all of them together complete the work?

Answer 1

given in question,


A+B. = in 18 days
B+C = in 24 days
C+A= in 36 days

LCM of 18,24,36. = 72
so, we can take total work =72
now, efficiency of,
A+B= 72/18 = 4
B+C=72/24= 3
C+A= 72/36= 2
So, the efficiency of
A+B+C= 9/2
so, work done by A, B and C together,

=( total work)/ efficiency
= 72/(9/2)
= 16 days

so, your answer is 16 days