A can complete a piece of work in 12 days, and B can complete the same work in 24 days. If they work together, how many days will it take them to complete the work? MCQ with Answer and Explanation
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Question #1
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A can do a work in 18 days and B in 24 days. They start together but A leaves 3 days before the completion of the work. Find the total number of days taken to complete the work.
Correct Answer: Option A
Explanation:
Total work = LCM(18, 24) = 72 units. Efficiency of A = 4, B = 3. Let total days be x. A works for (x - 3) days, B works for x days. 4(x - 3) + 3x = 72 => 4x - 12 + 3x = 72 => 7x = 84 => x = 12 days.
Total work = LCM(18, 24) = 72 units. Efficiency of A = 4, B = 3. Let total days be x. A works for (x - 3) days, B works for x days. 4(x - 3) + 3x = 72 => 4x - 12 + 3x = 72 => 7x = 84 => x = 12 days.
This question belongs to:
Maths
Time and Work
Question #2
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A can complete a work in 17 days and B in 44 days. If both work together, in how many days will the work be completed?
Correct Answer: Option D
Explanation:
Combined rate = 1/17 + 1/44. Time = 12.26 days.
Combined rate = 1/17 + 1/44. Time = 12.26 days.
This question belongs to:
Maths
Time and Work
Question #3
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33 men can complete a work in 26 days. If 41 men work at the same rate, how many days are required?
Correct Answer: Option B
Explanation:
Total work = 858 man-days. Days = 20.93.
Total work = 858 man-days. Days = 20.93.
This question belongs to:
Maths
Time and Work
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