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? MCQ with Answer and Explanation

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?
A. 20
B. 18
C. 25
D. 15
Answer: Option D
Solution (By JKSSB Mock Tests)
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.

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Practice More Time and Work Questions

Question #1
10 men can complete a work in 22 days. If 15 men work at the same rate, the work will be completed in:
A. 19.67
B. 24.67
C. 29.67
D. 14.67

Correct Answer: Option D


Explanation:
Total work = 220 man-days. Time = 220/15 = 14.67 days.

This question belongs to: Maths Time and Work
Question #2
A and B work together. A alone can complete the work in 30 days and B alone in 24 days. What percentage of the total daily work is contributed by A?
A. 44.44
B. 51.94
C. 46.94
D. 49.44

Correct Answer: Option A


Explanation:
A share = (1/30) / (1/30+1/24) ×100 = 44.44%.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 24 days and B in 26 days. If they work together, the work will be completed in:
A. 22.48
B. 12.48
C. 27.48
D. 17.48

Correct Answer: Option B


Explanation:
Combined rate = 1/24 + 1/26. Required time = 12.48 days.

This question belongs to: Maths Time and Work