A can do a piece of work in 10 days and B can do the same work in 15 days. If they work together, in how many days will the work be completed? MCQ with Answer and Explanation
A can do a piece of work in 10 days and B can do the same work in 15 days. If they work together, in how many days will the work be completed?
A. 8 days
B. 9 days
C. 5 days
D. 6 days
Answer: Option D
Solution (By JKSSB Mock Tests)
A's 1-day work = 1/10, B's 1-day work = 1/15. Combined 1-day work = 1/10 + 1/15 = 5/30 = 1/6. Therefore, they will complete the work together in 6 days.
Explanation:
Total work = LCM(20, 30) = 60 units. Efficiency of A = 3, B = 2. In 4 days, work completed = 4 * (3 + 2) = 20 units. Remaining work = 60 - 20 = 40 units. Time taken by B to finish remaining work = 40 / 2 = 20 days. Total days = 4 + 20 = 24 days.
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