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. MCQ with Answer and Explanation
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Question #1
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A can complete a work in 12 days and B in 40 days. If both work together, in how many days will the work be completed?
Correct Answer: Option A
Explanation:
Combined rate = 1/12 + 1/40. Time = 9.23 days.
Combined rate = 1/12 + 1/40. Time = 9.23 days.
This question belongs to:
Maths
Time and Work
Question #2
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17 men can complete a work in 21 days. If 21 men work at the same rate, in how many days will the work be completed?
Correct Answer: Option A
Explanation:
Total work = 17 × 21 = 357 man-days. Required days = 357/21 = 17.0 days.
Total work = 17 × 21 = 357 man-days. Required days = 357/21 = 17.0 days.
This question belongs to:
Maths
Time and Work
Question #3
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A can do a work in 16 days and B in 26 days. They work together for 5 days. What percentage of work remains?
Correct Answer: Option D
Explanation:
Remaining work = (1 - 5*(1/16+1/26)) ×100 = 49.52%.
Remaining work = (1 - 5*(1/16+1/26)) ×100 = 49.52%.
This question belongs to:
Maths
Time and Work
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