4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it? MCQ with Answer and Explanation

Question
4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
A. 45 days
B. 50 days
C. 35 days
D. 40 days
Answer: Option D
Solution (By JKSSB Mock Tests)
Total work = 8 * (4M + 6W) = 10 * (3M + 7W) => 32M + 48W = 30M + 70W => 2M = 22W => 1M = 11W. Total work in terms of women = 8 * (4*11W + 6W) = 8 * 50W = 400 W-days. Time taken by 10 women = 400 / 10 = 40 days.
This question belongs to: Maths Time and Work
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Practice More Time and Work Questions

Question #1
A can complete a work in 16 days and B in 21 days. If they work together, the work will be completed in:
A. 19.08
B. 14.08
C. 9.08
D. 24.08
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Correct Answer: Option C

Explanation:
Combined rate = 1/16 + 1/21. Required time = 9.08 days.
This question belongs to: Maths Time and Work
Question #2
A and B work together. A alone can complete the work in 18 days and B alone in 26 days. What percentage of the total daily work is contributed by A?
A. 66.59
B. 59.09
C. 61.59
D. 64.09
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Correct Answer: Option B

Explanation:
A share = (1/18) / (1/18+1/26) ×100 = 59.09%.
This question belongs to: Maths Time and Work
Question #3
A can complete a work in 16 days and B can complete the same work in 21 days. If they work together, in how many days will the work be completed?
A. 15.08
B. 13.08
C. 9.08
D. 11.08
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Correct Answer: Option C

Explanation:
Combined rate = 1/16 + 1/21. Time = 1 ÷ combined rate = 9.08 days.
This question belongs to: Maths Time and Work
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