A and B can complete a piece of work in 12 and 18 days respectively. They begin the work together, but A leaves 4 days before the completion of the work. For how many days did A and B work together? MCQ with Answer and Explanation
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Question #1
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A can complete a work in 16 days and B in 32 days. After working together for 5 days, what percentage of work remains?
Correct Answer: Option B
Explanation:
Remaining work = (1 - 5*(1/16+1/32))×100 = 53.12%.
Remaining work = (1 - 5*(1/16+1/32))×100 = 53.12%.
This question belongs to:
Maths
Time and Work
Question #2
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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?
Correct Answer: Option D
Explanation:
A's 1-day work = 1/12, B's 1-day work = 1/24. Combined 1-day work = 1/12 + 1/24 = 3/24 = 1/8. Therefore, they will complete the work together in 8 days.
A's 1-day work = 1/12, B's 1-day work = 1/24. Combined 1-day work = 1/12 + 1/24 = 3/24 = 1/8. Therefore, they will complete the work together in 8 days.
This question belongs to:
Maths
Time and Work
Question #3
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A can complete a work in 15 days and B in 18 days. If they work together, the work will be completed in:
Correct Answer: Option A
Explanation:
Combined rate = 1/15 + 1/18. Required time = 8.18 days.
Combined rate = 1/15 + 1/18. Required time = 8.18 days.
This question belongs to:
Maths
Time and Work
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