12 men can complete a work in 16 days. If 16 men work at the same rate, in how many days will the work be completed? MCQ with Answer and Explanation
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Question #1
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25 men can complete a work in 23 days. If 33 men work at the same rate, how many days are required?
Correct Answer: Option A
Explanation:
Total work = 575 man-days. Days = 17.42.
Total work = 575 man-days. Days = 17.42.
This question belongs to:
Maths
Time and Work
Question #2
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A and B work together. A alone can complete the work in 24 days and B alone in 36 days. What percentage of the total daily work is contributed by A?
Correct Answer: Option C
Explanation:
A share = (1/24) / (1/24+1/36) ×100 = 60.0%.
A share = (1/24) / (1/24+1/36) ×100 = 60.0%.
This question belongs to:
Maths
Time and Work
Question #3
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A and B can do a piece of work in 30 days and 36 days respectively. They began the work together but A left after some days and B finished the remaining work in 25 days. After how many days did A leave?
Correct Answer: Option C
Explanation:
Total work = LCM(30, 36) = 180 units. Efficiency of A = 6, B = 5. B worked alone for 25 days: work done = 25 * 5 = 125 units. Remaining work = 180 - 125 = 55 units. This was completed by A and B together. Combined efficiency = 11. Days worked together = 55 / 11 = 5 days. Thus, A left after 5 days.
Total work = LCM(30, 36) = 180 units. Efficiency of A = 6, B = 5. B worked alone for 25 days: work done = 25 * 5 = 125 units. Remaining work = 180 - 125 = 55 units. This was completed by A and B together. Combined efficiency = 11. Days worked together = 55 / 11 = 5 days. Thus, A left after 5 days.
This question belongs to:
Maths
Time and Work
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