18 men can complete a work in 30 days. If 23 men work at the same rate, the work will be completed in: MCQ with Answer and Explanation
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Question #1
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13 men can complete a work in 29 days. If 17 men work at the same rate, in how many days will the work be completed?
Correct Answer: Option C
Explanation:
Total work = 13 × 29 = 377 man-days. Required days = 377/17 = 22.18 days.
Total work = 13 × 29 = 377 man-days. Required days = 377/17 = 22.18 days.
This question belongs to:
Maths
Time and Work
Question #2
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A, B and C can complete a piece of work in 10, 12 and 15 days respectively. They started the work together, but A left after 2 days and B left 3 days before the completion of the work. Find the total duration of the work.
Correct Answer: Option C
Explanation:
Total work = LCM(10, 12, 15) = 60 units. Efficiency of A = 6, B = 5, C = 4. Let the work last for x days. A works for 2 days: work = 12 units. B works for (x - 3) days: work = 5(x - 3). C works for x days: work = 4x. Total work = 12 + 5x - 15 + 4x = 60 => 9x - 3 = 60 => 9x = 63 => x = 7 days.
Total work = LCM(10, 12, 15) = 60 units. Efficiency of A = 6, B = 5, C = 4. Let the work last for x days. A works for 2 days: work = 12 units. B works for (x - 3) days: work = 5(x - 3). C works for x days: work = 4x. Total work = 12 + 5x - 15 + 4x = 60 => 9x - 3 = 60 => 9x = 63 => x = 7 days.
This question belongs to:
Maths
Time and Work
Question #3
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A can complete a work in 30 days. What percentage of work will A complete in 6 days?
Correct Answer: Option A
Explanation:
Percentage completed = (6/30) × 100 = 20.0%.
Percentage completed = (6/30) × 100 = 20.0%.
This question belongs to:
Maths
Time and Work
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