A can do a work in 13 days and B in 23 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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16 men can complete a work in 20 days. If 20 men work at the same rate, in how many days will the work be completed?
Correct Answer: Option D
Explanation:
Total work = 16 × 20 = 320 man-days. Required days = 320/20 = 16.0 days.
Total work = 16 × 20 = 320 man-days. Required days = 320/20 = 16.0 days.
This question belongs to:
Maths
Time and Work
Question #2
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A, B and C can complete a piece of work in 10, 12 and 15 days respectively. They started the work together, but A left after 2 days and B left 3 days before the completion of the work. Find the total duration of the work.
Correct Answer: Option C
Explanation:
Total work = LCM(10, 12, 15) = 60 units. Efficiency of A = 6, B = 5, C = 4. Let the work last for x days. A works for 2 days: work = 12 units. B works for (x - 3) days: work = 5(x - 3). C works for x days: work = 4x. Total work = 12 + 5x - 15 + 4x = 60 => 9x - 3 = 60 => 9x = 63 => x = 7 days.
Total work = LCM(10, 12, 15) = 60 units. Efficiency of A = 6, B = 5, C = 4. Let the work last for x days. A works for 2 days: work = 12 units. B works for (x - 3) days: work = 5(x - 3). C works for x days: work = 4x. Total work = 12 + 5x - 15 + 4x = 60 => 9x - 3 = 60 => 9x = 63 => x = 7 days.
This question belongs to:
Maths
Time and Work
Question #3
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A can complete a work in 34 days and B in 38 days. If both work together, in how many days will the work be completed?
Correct Answer: Option D
Explanation:
Combined rate = 1/34 + 1/38. Time = 17.94 days.
Combined rate = 1/34 + 1/38. Time = 17.94 days.
This question belongs to:
Maths
Time and Work
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