10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work be completed? MCQ with Answer and Explanation

10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work be completed?
A. 8 days
B. 6(2/3) days
C. 6(1/3) days
D. 7 days
Answer: Option B
Solution (By JKSSB Mock Tests)
1-day work of 10 men = 1/15. 1-day work of 15 women = 1/12. Combined 1-day work = 1/15 + 1/12 = (4 + 5) / 60 = 9 / 60 = 3 / 20. Total days required = 20 / 3 = 6(2/3) days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 13 days and B in 28 days. If both work together, in how many days will the work be completed?
A. 11.38
B. 16.38
C. 8.88
D. 13.88

Correct Answer: Option C


Explanation:
Combined rate = 1/13 + 1/28. Time = 8.88 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 21 days and B can complete the same work in 31 days. If they work together, in how many days will the work be completed?
A. 16.52
B. 14.52
C. 18.52
D. 12.52

Correct Answer: Option D


Explanation:
Combined rate = 1/21 + 1/31. Time = 1 ÷ combined rate = 12.52 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 20 days and B can complete the same work in 15 days. If they work together, in how many days will the work be completed?
A. 14.57
B. 12.57
C. 8.57
D. 10.57

Correct Answer: Option C


Explanation:
Combined rate = 1/20 + 1/15. Time = 1 ÷ combined rate = 8.57 days.

This question belongs to: Maths Time and Work