A can complete a work in 11 days and B can complete the same work in 16 days. If they work together, in how many days will the work be completed? MCQ with Answer and Explanation
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Question #1
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16 men can complete a work in 18 days. If 21 men work at the same rate, the work will be completed in:
Correct Answer: Option B
Explanation:
Total work = 288 man-days. Time = 288/21 = 13.71 days.
Total work = 288 man-days. Time = 288/21 = 13.71 days.
This question belongs to:
Maths
Time and Work
Question #2
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A, B and C can do a piece of work in 10, 12 and 15 days respectively. They began the work together but A left after 2 days and B left 3 days before the completion of the work. How long did the work last?
Correct Answer: Option D
Explanation:
Total work = LCM(10, 12, 15) = 60 units. Efficiency of A = 6, B = 5, C = 4. Let the total time be x days. A worked for 2 days. B worked for (x - 3) days. C worked for x days. Total work = 2*6 + (x - 3)*5 + x*4 = 60 => 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 total time be x days. A worked for 2 days. B worked for (x - 3) days. C worked for x days. Total work = 2*6 + (x - 3)*5 + x*4 = 60 => 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 11 days and B in 22 days. After working together for 5 days, what percentage of work remains?
Correct Answer: Option D
Explanation:
Remaining work = (1 - 5*(1/11+1/22))×100 = 31.82%.
Remaining work = (1 - 5*(1/11+1/22))×100 = 31.82%.
This question belongs to:
Maths
Time and Work
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