A and B can do a piece of work in 30 days and 36 days respectively. They began the work together but A left after some days and B finished the remaining work in 25 days. After how many days did A leave? MCQ with Answer and Explanation
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Question #1
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A is thrice as efficient as B. Working together, they can complete a piece of work in 18 days. In how many days can A alone complete the work?
Correct Answer: Option A
Explanation:
Let B's efficiency = 1, then A's efficiency = 3. Combined efficiency = 3 + 1 = 4. Total work = 18 * 4 = 72 units. Time taken by A alone = 72 / 3 = 24 days.
Let B's efficiency = 1, then A's efficiency = 3. Combined efficiency = 3 + 1 = 4. Total work = 18 * 4 = 72 units. Time taken by A alone = 72 / 3 = 24 days.
This question belongs to:
Maths
Time and Work
Question #2
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A can complete a work in 32 days. What percentage of the work will be completed in 7 days?
Correct Answer: Option C
Explanation:
Completed percentage = (7/32)×100 = 21.88%.
Completed percentage = (7/32)×100 = 21.88%.
This question belongs to:
Maths
Time and Work
Question #3
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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?
Correct Answer: Option B
Explanation:
Combined rate = 1/15 + 1/20. Time = 1 ÷ combined rate = 8.57 days.
Combined rate = 1/15 + 1/20. Time = 1 ÷ combined rate = 8.57 days.
This question belongs to:
Maths
Time and Work
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