A can complete a work in 9 days and B in 16 days. If they work together, the work will be completed in: MCQ with Answer and Explanation
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Question #1
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A and B can complete a piece of work in 18 days and 24 days respectively. They worked together for 6 days and then A left. In how many days will B complete the remaining work?
Correct Answer: Option A
Explanation:
Total work = LCM(18, 24) = 72 units. Efficiency of A = 4, B = 3. Combined efficiency = 7. In 6 days, work done = 6 * 7 = 42 units. Remaining work = 72 - 42 = 30 units. Time taken by B to finish remaining work = 30 / 3 = 10 days.
Total work = LCM(18, 24) = 72 units. Efficiency of A = 4, B = 3. Combined efficiency = 7. In 6 days, work done = 6 * 7 = 42 units. Remaining work = 72 - 42 = 30 units. Time taken by B to finish remaining work = 30 / 3 = 10 days.
This question belongs to:
Maths
Time and Work
Question #2
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18 men can complete a work in 28 days. If 22 men work at the same rate, in how many days will the work be completed?
Correct Answer: Option A
Explanation:
Total work = 18 × 28 = 504 man-days. Required days = 504/22 = 22.91 days.
Total work = 18 × 28 = 504 man-days. Required days = 504/22 = 22.91 days.
This question belongs to:
Maths
Time and Work
Question #3
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17 men can complete a work in 27 days. If 21 men work at the same rate, in how many days will the work be completed?
Correct Answer: Option D
Explanation:
Total work = 17 × 27 = 459 man-days. Required days = 459/21 = 21.86 days.
Total work = 17 × 27 = 459 man-days. Required days = 459/21 = 21.86 days.
This question belongs to:
Maths
Time and Work
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