A can finish a work in 12 days and B can do it in 15 days. After A had worked for 3 days, B also joined him to finish the remaining work. In how many days was the remaining work completed? MCQ with Answer and Explanation
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Question #1
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A can complete a work in 15 days and B in 26 days. If they work together, the work will be completed in:
Correct Answer: Option B
Explanation:
Combined rate = 1/15 + 1/26. Required time = 9.51 days.
Combined rate = 1/15 + 1/26. Required time = 9.51 days.
This question belongs to:
Maths
Time and Work
Question #2
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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?
Correct Answer: Option A
Explanation:
Total work = LCM(30, 36) = 180 units. Efficiency of A = 6, B = 5. B worked alone for 25 days: work done = 25 * 5 = 125 units. Remaining work = 180 - 125 = 55 units. This was completed by A and B together. Combined efficiency = 11. Days worked together = 55 / 11 = 5 days. Thus, A left after 5 days.
Total work = LCM(30, 36) = 180 units. Efficiency of A = 6, B = 5. B worked alone for 25 days: work done = 25 * 5 = 125 units. Remaining work = 180 - 125 = 55 units. This was completed by A and B together. Combined efficiency = 11. Days worked together = 55 / 11 = 5 days. Thus, A left after 5 days.
This question belongs to:
Maths
Time and Work
Question #3
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16 men can complete a work in 20 days. If 20 men work at the same rate, in how many days will the work be completed?
Correct Answer: Option A
Explanation:
Total work = 16 × 20 = 320 man-days. Required days = 320/20 = 16.0 days.
Total work = 16 × 20 = 320 man-days. Required days = 320/20 = 16.0 days.
This question belongs to:
Maths
Time and Work
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