A can complete a work in 12 days and B in 14 days. If they work together, the work will be completed in: MCQ with Answer and Explanation
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Question #1
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18 men can complete a work in 22 days. If 22 men work at the same rate, in how many days will the work be completed?
Correct Answer: Option D
Explanation:
Total work = 18 × 22 = 396 man-days. Required days = 396/22 = 18.0 days.
Total work = 18 × 22 = 396 man-days. Required days = 396/22 = 18.0 days.
This question belongs to:
Maths
Time and Work
Question #2
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A can complete a work in 11 days and B in 22 days. If they work together, the work will be completed in:
Correct Answer: Option A
Explanation:
Combined rate = 1/11 + 1/22. Required time = 7.33 days.
Combined rate = 1/11 + 1/22. Required time = 7.33 days.
This question belongs to:
Maths
Time and Work
Question #3
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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 D
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
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