A can complete a work in 13 days and B in 28 days. If both 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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A can complete a work in 14 days and B in 15 days. If they work together, the work will be completed in:
Correct Answer: Option A
Explanation:
Combined rate = 1/14 + 1/15. Required time = 7.24 days.
Combined rate = 1/14 + 1/15. Required time = 7.24 days.
This question belongs to:
Maths
Time and Work
Question #2
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A can do a piece of work in 25 days and B can finish it in 20 days. They work together for 5 days and then A leaves. In how many days will B finish the remaining work?
Correct Answer: Option A
Explanation:
Total work = LCM(25, 20) = 100 units. Efficiency of A = 4, B = 5. Combined efficiency = 9 units/day. In 5 days, work done = 5 * 9 = 45 units. Remaining work = 100 - 45 = 55 units. Time taken by B to complete remaining work = 55 / 5 = 11 days.
Total work = LCM(25, 20) = 100 units. Efficiency of A = 4, B = 5. Combined efficiency = 9 units/day. In 5 days, work done = 5 * 9 = 45 units. Remaining work = 100 - 45 = 55 units. Time taken by B to complete remaining work = 55 / 5 = 11 days.
This question belongs to:
Maths
Time and Work
Question #3
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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 D
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
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