A, B and C can complete a work in 12, 15 and 20 days respectively. If they work together, in how many days will the work be completed? MCQ with Answer and Explanation
A, B and C can complete a work in 12, 15 and 20 days respectively. If they work together, in how many days will the work be completed?
A. 4.5 days
B. 4 days
C. 6 days
D. 5 days
Answer: Option D
Solution (By JKExamLibrary)
Total work = LCM(12, 15, 20) = 60 units. Efficiency of A = 5, B = 4, C = 3. Combined efficiency = 5 + 4 + 3 = 12 units/day. Time taken together = 60 / 12 = 5 days.
Explanation:
Let efficiency of B = 1, then efficiency of A = 2. Combined efficiency = 3. Total work = 14 * 3 = 42 units. Time taken by A alone = 42 / 2 = 21 days.
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