If 10 men or 20 women can do a piece of work in 13 days, in how many days will 24 men and 17 women complete the same work? MCQ with Answer and Explanation
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Question #1
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12 men can complete a work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working and after 2 days, all of them stop working. How many women should be put on the job to complete the remaining work in 3 days?
Correct Answer: Option B
Explanation:
Total work = 12M * 4 = 48 man-days = 15W * 4 = 60 woman-days. So, 48M = 60W => 4M = 5W => 1M = 1.25W. Work done by 6 men in 2 days = 12 man-days. Remaining work = 48 - 12 = 36 man-days. Converting to woman-days: 36 * 1.25 = 45 woman-days. To complete 45 woman-days in 3 days, number of women required = 45 / 3 = 15 women.
Total work = 12M * 4 = 48 man-days = 15W * 4 = 60 woman-days. So, 48M = 60W => 4M = 5W => 1M = 1.25W. Work done by 6 men in 2 days = 12 man-days. Remaining work = 48 - 12 = 36 man-days. Converting to woman-days: 36 * 1.25 = 45 woman-days. To complete 45 woman-days in 3 days, number of women required = 45 / 3 = 15 women.
This question belongs to:
Maths
Time and Work
Question #2
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A can complete a work in 20 days and B can complete the same work in 30 days. If they work together, in how many days will the work be completed?
Correct Answer: Option B
Explanation:
Combined rate = 1/20 + 1/30. Time = 1 ÷ combined rate = 12.0 days.
Combined rate = 1/20 + 1/30. Time = 1 ÷ combined rate = 12.0 days.
This question belongs to:
Maths
Time and Work
Question #3
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If 6 men and 8 boys can do a piece of work in 10 days, then 3 men and 4 boys will do the same work in:
Correct Answer: Option C
Explanation:
The number of workers (3 men and 4 boys) is exactly half of the original group (6 men and 8 boys). Since efficiency becomes half, the time taken will double. Total time = 10 * 2 = 20 days.
The number of workers (3 men and 4 boys) is exactly half of the original group (6 men and 8 boys). Since efficiency becomes half, the time taken will double. Total time = 10 * 2 = 20 days.
This question belongs to:
Maths
Time and Work
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