14 men can complete a work in 24 days. If 18 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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13 men can complete a work in 30 days. If 18 men work at the same rate, the work will be completed in:
Correct Answer: Option B
Explanation:
Total work = 390 man-days. Time = 390/18 = 21.67 days.
Total work = 390 man-days. Time = 390/18 = 21.67 days.
This question belongs to:
Maths
Time and Work
Question #2
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A can complete a project in 20 days and B in 30 days. If they work on alternate days starting with A, in how many days will the project be completed?
Correct Answer: Option B
Explanation:
Total work = LCM(20, 30) = 60 units. Efficiency of A = 3, B = 2. In a 2-day cycle (A then B), work completed = 3 + 2 = 5 units. Number of cycles required = 60 / 5 = 12 cycles. Total time = 12 * 2 = 24 days.
Total work = LCM(20, 30) = 60 units. Efficiency of A = 3, B = 2. In a 2-day cycle (A then B), work completed = 3 + 2 = 5 units. Number of cycles required = 60 / 5 = 12 cycles. Total time = 12 * 2 = 24 days.
This question belongs to:
Maths
Time and Work
Question #3
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A can complete a work in 23 days and B in 21 days. If both work together, in how many days will the work be completed?
Correct Answer: Option D
Explanation:
Combined rate = 1/23 + 1/21. Time = 10.98 days.
Combined rate = 1/23 + 1/21. Time = 10.98 days.
This question belongs to:
Maths
Time and Work
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