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 days
B. 5 days
C. 6 days
D. 4.5 days
Answer: Option B
Solution (By JKSSB Mock Tests)
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:
Ratio of time taken by A : B = 24 : 32 = 3 : 4. Ratio of efficiency of A : B = 4 : 3. Total ratio parts = 4 + 3 = 7. B's share = (3 / 7) * 5600 = 3 * 800 = Rs. 2400.
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