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A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:

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1. 

A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:

[A]. 1/24 day
[B]. 7/24 day
[C]. 3 3/7 days
[D]. 4 days

Answer: Option C

Explanation:

Formula: If A can do a piece of work in n days, then A's 1 day's work = 1 .
n
(A + B + C)'s 1 day's work = 1-sym-oparen-h1 1 + 1 + 1 1-sym-cparen-h1 = 7 .
24 6 12 24
Formula: If A's 1 day's work = 1 , then A can finish the work in n days.
n
So, all the three together will complete the job in 1-sym-oparen-h1 24 1-sym-cparen-h1 days = 3 3 days.
7 7
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