A can complete a work in 27 days and B in 44 days. If both work together, in how many days will the work be completed? MCQ with Answer and Explanation

Explanation:
Total work = LCM(20, 30) = 60 units. Efficiency of A = 3, B = 2. In a 2-day cycle (A then B), work completed = 3 + 2 = 5 units. Number of cycles required = 60 / 5 = 12 cycles. Total time = 12 * 2 = 24 days.

Explanation:
Total work = 899 man-days. Days = 23.05.

Explanation:
Total work = LCM(12, 15, 20) = 60 units. Efficiency of (A+B) = 5, (B+C) = 4, (C+A) = 3. Summing efficiencies gives 2*(A+B+C) = 12 => Efficiency of (A+B+C) = 6. Efficiency of B = (A+B+C) - (C+A) = 6 - 3 = 3. Time taken by B alone = 60 / 3 = 20 days.