A and B together can do a piece of work in 8 days, B and C together in 12 days, and C and A together in 16 days. In how many days can A, B and C together finish the work? MCQ with Answer and Explanation
A and B together can do a piece of work in 8 days, B and C together in 12 days, and C and A together in 16 days. In how many days can A, B and C together finish the work?
A. 8(2/13) days
B. 6(6/13) days
C. 7(5/13) days
D. 5(5/13) days
Answer: Option C
Solution (By JKSSB Mock Tests)
Total work = LCM(8, 12, 16) = 48 units. Efficiency of (A+B) = 6, (B+C) = 4, (C+A) = 3. Summing efficiencies gives 2 * (A+B+C) = 13, so efficiency of (A+B+C) = 13/2. Time taken = 48 / (13/2) = 96 / 13 = 7(5/13) days.
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