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? MCQ with Answer and Explanation
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Question #1
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18 men can complete a work in 28 days. If 22 men work at the same rate, in how many days will the work be completed?
Correct Answer: Option B
Explanation:
Total work = 18 × 28 = 504 man-days. Required days = 504/22 = 22.91 days.
Total work = 18 × 28 = 504 man-days. Required days = 504/22 = 22.91 days.
This question belongs to:
Maths
Time and Work
Question #2
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A and B work together. A alone can complete the work in 30 days and B alone in 34 days. What percentage of the total daily work is contributed by A?
Correct Answer: Option A
Explanation:
A share = (1/30) / (1/30+1/34) ×100 = 53.12%.
A share = (1/30) / (1/30+1/34) ×100 = 53.12%.
This question belongs to:
Maths
Time and Work
Question #3
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A group of men decided to do a work in 10 days, but 5 of them became absent. If the rest of the group did the work in 12 days, find the original number of men.
Correct Answer: Option B
Explanation:
Let the original number of men be x. Using M1 * D1 = M2 * D2: x * 10 = (x - 5) * 12 => 10x = 12x - 60 => 2x = 60 => x = 30.
Let the original number of men be x. Using M1 * D1 = M2 * D2: x * 10 = (x - 5) * 12 => 10x = 12x - 60 => 2x = 60 => x = 30.
This question belongs to:
Maths
Time and Work
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