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 the work? MCQ with Answer and Explanation

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 the work?
A. 45 days
B. 40 days
C. 50 days
D. 35 days
Answer: Option B
Solution (By JKSSB Mock Tests)
Total work = 8 * (4M + 6W) = 10 * (3M + 7W) => 32M + 48W = 30M + 70W => 2M = 22W => 1M = 11W. Total work = 8 * (4*11W + 6W) = 8 * 50W = 400W. Time taken by 10 women = 400W / 10W = 40 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 16 days and B in 27 days. If both work together, in how many days will the work be completed?
A. 12.55
B. 15.05
C. 10.05
D. 17.55

Correct Answer: Option C


Explanation:
Combined rate = 1/16 + 1/27. Time = 10.05 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 23 days and B in 23 days. If they work together, the work will be completed in:
A. 16.5
B. 26.5
C. 11.5
D. 21.5

Correct Answer: Option C


Explanation:
Combined rate = 1/23 + 1/23. Required time = 11.5 days.

This question belongs to: Maths Time and Work
Question #3
A, B and C can complete a piece of work in 10, 15 and 20 days respectively. They started together but A left after 2 days and B left 2 days before the completion of the work. Find the total number of days taken to complete the work.
A. 6 days
B. 9 days
C. 7 days
D. 8 days

Correct Answer: Option D


Explanation:
Total work = LCM(10, 15, 20) = 60 units. Efficiency of A = 6, B = 4, C = 3. Let the total work last for x days. A worked for 2 days, so work done = 2 * 6 = 12 units. Remaining work = 60 - 12 = 48 units. B worked for (x - 2) days and C worked for x days. Therefore, 4(x - 2) + 3x = 48 => 4x - 8 + 3x = 48 => 7x = 56 => x = 8 days.

This question belongs to: Maths Time and Work