A, B and C can do a piece of work in 24, 30 and 40 days respectively. They began the work together but C left 4 days before the completion of the work. In how many days was the work completed? MCQ with Answer and Explanation
A, B and C can do a piece of work in 24, 30 and 40 days respectively. They began the work together but C left 4 days before the completion of the work. In how many days was the work completed?
A. 13 days
B. 12 days
C. 14 days
D. 11 days
Answer: Option D
Solution (By JKSSB Mock Tests)
Total work = LCM(24, 30, 40) = 120 units. Efficiencies: A = 5, B = 4, C = 3. Total efficiency = 12 units/day. Since C left 4 days before completion, add the work C would have done in those 4 days: 120 + (3 * 4) = 132 units. Total days = 132 / 12 = 11 days.
Explanation:
3 Men = 5 Women => 6 Men = 10 Women. 6 men + 5 women = 10 women + 5 women = 15 women. Since 5 women take 12 days, 15 women will take (5 * 12) / 15 = 60 / 15 = 4 days.
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