A and B together can complete a piece of work in 8 days. If A alone can complete the same work in 12 days, in how many days can B alone complete it? MCQ with Answer and Explanation
A and B together can complete a piece of work in 8 days. If A alone can complete the same work in 12 days, in how many days can B alone complete it?
A. 20 days
B. 16 days
C. 24 days
D. 18 days
Answer: Option C
Solution (By JKSSB Mock Tests)
Total work = LCM(8, 12) = 24 units. Combined efficiency of A and B = 3. Efficiency of A = 2. Efficiency of B = 3 - 2 = 1. Time taken by B alone = 24 / 1 = 24 days.
Explanation:
Let efficiency of B = 4, then efficiency of A = 5. Combined efficiency = 9 units/day. Total work = 20 * 9 = 180 units. Time taken by B alone = 180 / 4 = 45 days.
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