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?
Q1. 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?
Answer: 5(1/3) days
Explanation: Adding all three pair equations: 2(1/A+1/B+1/C) = 1/6+1/12+1/8 = 3/8; combined rate = 3/16; time = 16/3 = 5⅓ days.