A can do a work in 11 days and B in 29 days. In how many days will they complete 75% of the work together? MCQ with Answer and Explanation
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Question #1
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A can complete a piece of work in 12 days and B in 15 days. They work together for 3 days and then B leaves. In how many days will A complete the remaining work?
Correct Answer: Option D
Explanation:
Total work = LCM(12, 15) = 60 units. Efficiency of A = 5, B = 4. Combined efficiency = 9 units/day. In 3 days, work completed = 3 * 9 = 27 units. Remaining work = 60 - 27 = 33 units. Time taken by A to complete remaining work = 33 / 5 = 6.6 days.
Total work = LCM(12, 15) = 60 units. Efficiency of A = 5, B = 4. Combined efficiency = 9 units/day. In 3 days, work completed = 3 * 9 = 27 units. Remaining work = 60 - 27 = 33 units. Time taken by A to complete remaining work = 33 / 5 = 6.6 days.
This question belongs to:
Maths
Time and Work
Question #2
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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 A
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
Question #3
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A can complete a work in 23 days and B in 28 days. If both work together, in how many days will the work be completed?
Correct Answer: Option D
Explanation:
Combined rate = 1/23 + 1/28. Time = 12.63 days.
Combined rate = 1/23 + 1/28. Time = 12.63 days.
This question belongs to:
Maths
Time and Work
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