14 men can complete a work in 18 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 18 days and B can complete the same work in 33 days. If they work together, in how many days will the work be completed?
Correct Answer: Option B
Explanation:
Combined rate = 1/18 + 1/33. Time = 1 ÷ combined rate = 11.65 days.
Combined rate = 1/18 + 1/33. Time = 1 ÷ combined rate = 11.65 days.
This question belongs to:
Maths
Time and Work
Question #2
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A and B can do a piece of work in 10 days, B and C in 12 days, and C and A in 15 days. How long will C alone take to complete the work?
Correct Answer: Option A
Explanation:
Total work = LCM(10, 12, 15) = 60 units. Efficiency of (A+B) = 6, (B+C) = 5, (C+A) = 4. Summing gives 2*(A+B+C) = 15 => Efficiency of (A+B+C) = 7.5. Efficiency of C = (A+B+C) - (A+B) = 7.5 - 6 = 1.5. Time taken by C alone = 60 / 1.5 = 40 days.
Total work = LCM(10, 12, 15) = 60 units. Efficiency of (A+B) = 6, (B+C) = 5, (C+A) = 4. Summing gives 2*(A+B+C) = 15 => Efficiency of (A+B+C) = 7.5. Efficiency of C = (A+B+C) - (A+B) = 7.5 - 6 = 1.5. Time taken by C alone = 60 / 1.5 = 40 days.
This question belongs to:
Maths
Time and Work
Question #3
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19 men can complete a work in 29 days. If 23 men work at the same rate, in how many days will the work be completed?
Correct Answer: Option D
Explanation:
Total work = 19 × 29 = 551 man-days. Required days = 551/23 = 23.96 days.
Total work = 19 × 29 = 551 man-days. Required days = 551/23 = 23.96 days.
This question belongs to:
Maths
Time and Work
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