A and B together take 6 days to complete a task. B and C together take 12 days to complete the same task. A and C together take 8 days to complete it. If A, B and C are working together, how long does it take for them to complete the task?
A. 4(2/3) days
B. 4 days
C. 5(1/3) days
D. 1(1/3) days
(1/A)+(1/B) = (1/6) (1/B)+(1/C) = (1/12) (1/A)+(1/C) = (1/8) Solving the three equations,
(1/A)+(1/B)+(1/C) = (3/16) Together they take 16/3 = 5(1/3) days to complete the task.