Q) 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 days                     b) 7/24 days             c) 3 3/7 days                     d) 4 days

Ans:

A’s 1 day work = 1/24

B’s 1 day work = 1/6

C’s 1 day work = 1/12

∴ (A + B + C)’s 1 day’s work = 1/24 + 1/6 + 1/12 = 35/120 =7/24

Since 7/24 work is done in = 1 day

∴ Full work will be done = 1/(7/24) = 24/7 = 3 3/7 days

Hence, Answer is [C].

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