21 men can complete a work in 18 days. If 26 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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A can complete a work in 22 days and B can complete the same work in 22 days. If they work together, in how many days will the work be completed?
Correct Answer: Option D
Explanation:
Combined rate = 1/22 + 1/22. Time = 1 ÷ combined rate = 11.0 days.
Combined rate = 1/22 + 1/22. Time = 1 ÷ combined rate = 11.0 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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If 10 men can complete a project in 12 days, how many more men are required to finish it in 8 days?
Correct Answer: Option C
Explanation:
Using M1 * D1 = M2 * D2: 10 * 12 = M2 * 8 => 120 = 8 * M2 => M2 = 15 men. More men required = 15 - 10 = 5.
Using M1 * D1 = M2 * D2: 10 * 12 = M2 * 8 => 120 = 8 * M2 => M2 = 15 men. More men required = 15 - 10 = 5.
This question belongs to:
Maths
Time and Work
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