If 3 men or 6 women can do a piece of work in 16 days, in how many days can 12 men and 8 women do the same work? MCQ with Answer and Explanation

If 3 men or 6 women can do a piece of work in 16 days, in how many days can 12 men and 8 women do the same work?
A. 2 days
B. 4 days
C. 5 days
D. 3 days
Answer: Option D
Solution (By JKSSB Mock Tests)
3 Men = 6 Women => 1 Man = 2 Women. 12 Men + 8 Women = 12(2 Women) + 8 Women = 32 Women. If 6 women do it in 16 days, then 32 women do it in (6 * 16) / 32 = 3 days.

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Practice More Time and Work Questions

Question #1
If 3 men or 5 women can do a piece of work in 12 days, in how many days will 6 men and 5 women complete the same work?
A. 4 days
B. 6 days
C. 5 days
D. 3 days

Correct Answer: Option A


Explanation:
3 Men = 5 Women => 6 Men = 10 Women. 6 men + 5 women = 10 women + 5 women = 15 women. Since 5 women take 12 days, 15 women will take (5 * 12) / 15 = 60 / 15 = 4 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 18 days and B in 46 days. If both work together, in how many days will the work be completed?
A. 17.94
B. 20.44
C. 15.44
D. 12.94

Correct Answer: Option D


Explanation:
Combined rate = 1/18 + 1/46. Time = 12.94 days.

This question belongs to: Maths Time and Work
Question #3
A and B can do a piece of work in 10 days, B and C in 12 days, and C and A in 15 days. How long will C alone take to complete the work?
A. 40 days
B. 30 days
C. 60 days
D. 24 days

Correct Answer: Option A


Explanation:
Total work = LCM(10, 12, 15) = 60 units. Efficiency of (A+B) = 6, (B+C) = 5, (C+A) = 4. Summing gives 2*(A+B+C) = 15 => Efficiency of (A+B+C) = 7.5. Efficiency of C = (A+B+C) - (A+B) = 7.5 - 6 = 1.5. Time taken by C alone = 60 / 1.5 = 40 days.

This question belongs to: Maths Time and Work