A can do a piece of work in 12 days and B in 15 days. They work together for 5 days and then B leaves. The days taken by A to finish the remaining work is: MCQ with Answer and Explanation
A can do a piece of work in 12 days and B in 15 days. They work together for 5 days and then B leaves. The days taken by A to finish the remaining work is:
A. 3 days
B. 2 days
C. 4 days
D. 1 day
Answer: Option A
Solution (By JKSSB Mock Tests)
Total work = LCM(12, 15) = 60 units. Efficiency of A = 5, B = 4. In 5 days, work done = 5 * (5 + 4) = 45 units. Remaining work = 60 - 45 = 15 units. Time taken by A to finish remaining work = 15 / 5 = 3 days.
A and B can do a job in 6 days and 12 days respectively. They began the work together but A left after 3 days. In how many days was the remaining work completed by B?
Explanation:
Total work = LCM(6, 12) = 12 units. Efficiency of A = 2, B = 1. Combined efficiency = 3 units/day. In 3 days, work done = 3 * 3 = 9 units. Remaining work = 12 - 9 = 3 units. Time taken by B to complete remaining work = 3 / 1 = 3 days.
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