14 men can complete a work in 12 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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A can complete a work in 22 days and B can complete the same work in 32 days. If they work together, in how many days will the work be completed?
Correct Answer: Option C
Explanation:
Combined rate = 1/22 + 1/32. Time = 1 ÷ combined rate = 13.04 days.
Combined rate = 1/22 + 1/32. Time = 1 ÷ combined rate = 13.04 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 together but A left 2 days after the start and B left 3 days before the completion of the work. How long did the work last?
Correct Answer: Option B
Explanation:
Total work = LCM(10, 12, 15) = 60 units. Efficiency of A = 6, B = 5, C = 4. Let total days be x. A works for 2 days. B works for (x - 3) days. C works for x days. Total work = 2*6 + (x - 3)*5 + 4*x = 60 => 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 total days be x. A works for 2 days. B works for (x - 3) days. C works for x days. Total work = 2*6 + (x - 3)*5 + 4*x = 60 => 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 20 days and B can complete the same work in 15 days. If they work together, in how many days will the work be completed?
Correct Answer: Option B
Explanation:
Combined rate = 1/20 + 1/15. Time = 1 ÷ combined rate = 8.57 days.
Combined rate = 1/20 + 1/15. Time = 1 ÷ combined rate = 8.57 days.
This question belongs to:
Maths
Time and Work
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