A is thrice as efficient as B. Working together, they can complete a piece of work in 18 days. In how many days can A alone complete the work? MCQ with Answer and Explanation
A is thrice as efficient as B. Working together, they can complete a piece of work in 18 days. In how many days can A alone complete the work?
A. 54 days
B. 36 days
C. 72 days
D. 24 days
Answer: Option D
Solution (By JKSSB Mock Tests)
Let B's efficiency = 1, then A's efficiency = 3. Combined efficiency = 3 + 1 = 4. Total work = 18 * 4 = 72 units. Time taken by A alone = 72 / 3 = 24 days.
Explanation:
Total work = LCM(18, 24, 36) = 72 units. Efficiency of A = 4, B = 3, C = 2. Combined efficiency = 4 + 3 + 2 = 9 units/day. Time taken together = 72 / 9 = 8 days.
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