A can complete a project in 20 days and B in 30 days. If they work on alternate days starting with A, in how many days will the project be completed? MCQ with Answer and Explanation
A can complete a project in 20 days and B in 30 days. If they work on alternate days starting with A, in how many days will the project be completed?
A. 25 days
B. 24 days
C. 26 days
D. 22 days
Answer: Option B
Solution (By JKSSB Mock Tests)
Total work = LCM(20, 30) = 60 units. Efficiency of A = 3, B = 2. In a 2-day cycle (A then B), work completed = 3 + 2 = 5 units. Number of cycles required = 60 / 5 = 12 cycles. Total time = 12 * 2 = 24 days.
A can do a piece of work in 10 days, B in 12 days and C in 15 days. They carry out the work together and get a total of Rs. 6000 as wages. Find the share of A.
Explanation:
Total work = LCM(10, 12, 15) = 60 units. Efficiency of A = 6, B = 5, C = 4. Ratio of wages is equal to ratio of efficiencies = 6 : 5 : 4. Total ratio parts = 6 + 5 + 4 = 15. Share of A = (6 / 15) * 6000 = 6 * 400 = Rs. 2400.
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