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Question
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?
Options:
A .  4(2/3) days
B .  4 days
C .  5(1/3) days
D .  1(1/3) days
Answer: Option C
(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.

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