12 men can complete a piece of work in 12 days. If 6 men leave after 6 days, how many more days will it take to complete the remaining work? MCQ with Answer and Explanation
12 men can complete a piece of work in 12 days. If 6 men leave after 6 days, how many more days will it take to complete the remaining work?
A. 8 days
B. 10 days
C. 12 days
D. 6 days
Answer: Option C
Solution (By JKSSB Mock Tests)
Total work = 12 * 12 = 144 man-days. In 6 days, 12 men complete = 12 * 6 = 72 man-days. Remaining work = 144 - 72 = 72 man-days. Remaining men = 12 - 6 = 6 men. Time taken by 6 men to complete remaining work = 72 / 6 = 12 days.
Explanation:
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.
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