A can finish a work in 15 days and B in 20 days. They work together for 6 days and then B leaves. In how many days will A finish the remaining work? MCQ with Answer and Explanation
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Question #1
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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 B
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 #2
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A can complete a work in 23 days and B in 46 days. After working together for 5 days, what percentage of work remains?
Correct Answer: Option C
Explanation:
Remaining work = (1 - 5*(1/23+1/46))×100 = 67.39%.
Remaining work = (1 - 5*(1/23+1/46))×100 = 67.39%.
This question belongs to:
Maths
Time and Work
Question #3
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21 men can complete a work in 29 days. If 29 men work at the same rate, how many days are required?
Correct Answer: Option D
Explanation:
Total work = 609 man-days. Days = 21.0.
Total work = 609 man-days. Days = 21.0.
This question belongs to:
Maths
Time and Work
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