A can complete a work in 15 days and B can complete the same work in 20 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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A can complete a work in 16 days and B in 29 days. If they work together, the work will be completed in:
Correct Answer: Option B
Explanation:
Combined rate = 1/16 + 1/29. Required time = 10.31 days.
Combined rate = 1/16 + 1/29. Required time = 10.31 days.
This question belongs to:
Maths
Time and Work
Question #2
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A can complete a work in 18 days and B in 24 days. If both work together, in how many days will the work be completed?
Correct Answer: Option A
Explanation:
Combined rate = 1/18 + 1/24. Time = 10.29 days.
Combined rate = 1/18 + 1/24. Time = 10.29 days.
This question belongs to:
Maths
Time and Work
Question #3
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A and B can do a job in 12 days and 16 days respectively. Both work together for 3 days and then A leaves. How long will B take to complete the remaining work?
Correct Answer: Option C
Explanation:
Total work = LCM(12, 16) = 48 units. Efficiency of A = 4, B = 3. Combined efficiency = 7 units/day. In 3 days, work completed = 7 * 3 = 21 units. Remaining work = 48 - 21 = 27 units. Time taken by B for remaining work = 27 / 3 = 9 days.
Total work = LCM(12, 16) = 48 units. Efficiency of A = 4, B = 3. Combined efficiency = 7 units/day. In 3 days, work completed = 7 * 3 = 21 units. Remaining work = 48 - 21 = 27 units. Time taken by B for remaining work = 27 / 3 = 9 days.
This question belongs to:
Maths
Time and Work
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