Question

A and B can do a piece of work in 40 days, B and C in 30 days, and C and A in 24 days. (i) How long will it take them to do the work, working together? (ii) In what time can each finish it working alone​

Answer 1

lcm = 120

A+B 40 3

B+C 30 4

C+A 24 5

2(A+B+C) 10 12

A+B+C 20 6

C 40 3

B 120 1

A 60 2

i) 20 days

ii) A takes 60 days, B takes 120 days,

C takes 40 days