A can complete a work in 10 days and B in 19 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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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 C
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
Question #2
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A can complete a work in 13 days and B can complete the same work in 18 days. If they work together, in how many days will the work be completed?
Correct Answer: Option B
Explanation:
Combined rate = 1/13 + 1/18. Time = 1 ÷ combined rate = 7.55 days.
Combined rate = 1/13 + 1/18. Time = 1 ÷ combined rate = 7.55 days.
This question belongs to:
Maths
Time and Work
Question #3
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8 men can complete a work in 24 days. If 12 men work at the same rate, in how many days will the work be completed?
Correct Answer: Option C
Explanation:
Total work = 8 × 24 = 192 man-days. Required days = 192/12 = 16.0 days.
Total work = 8 × 24 = 192 man-days. Required days = 192/12 = 16.0 days.
This question belongs to:
Maths
Time and Work
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