If 5 men or 9 women can do a piece of work in 19 days, then 3 men and 6 women will do the same work in: MCQ with Answer and Explanation

If 5 men or 9 women can do a piece of work in 19 days, then 3 men and 6 women will do the same work in:
A. 15 days
B. 10 days
C. 13 days
D. 12 days
Answer: Option A
Solution (By JKSSB Mock Tests)
5 Men = 9 Women => 1 Man = 9/5 Women. 3 men + 6 women = 3 * (9/5) + 6 = 27/5 + 6 = 57/5 women. Since 9 women take 19 days, 57/5 women will take (9 * 19) / (57/5) = (171 * 5) / 57 = 3 * 5 = 15 days.

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Practice More Time and Work Questions

Question #1
A and B can complete a piece of work in 18 days and 24 days respectively. They worked together for 6 days and then A left. In how many days will B complete the remaining work?
A. 10 days
B. 12 days
C. 14 days
D. 8 days

Correct Answer: Option A


Explanation:
Total work = LCM(18, 24) = 72 units. Efficiency of A = 4, B = 3. Combined efficiency = 7. In 6 days, work done = 6 * 7 = 42 units. Remaining work = 72 - 42 = 30 units. Time taken by B to finish remaining work = 30 / 3 = 10 days.

This question belongs to: Maths Time and Work
Question #2
A can do a work in 13 days and B in 17 days. In how many days will they complete 75% of the work together?
A. 5.52
B. 13.02
C. 8.02
D. 10.52

Correct Answer: Option A


Explanation:
Combined time for full work multiplied by 0.75 = 5.52 days.

This question belongs to: Maths Time and Work
Question #3
If 10 men can complete a project in 12 days, how many more men are required to finish it in 8 days?
A. 8
B. 4
C. 5
D. 6

Correct Answer: Option C


Explanation:
Using M1 * D1 = M2 * D2: 10 * 12 = M2 * 8 => 120 = 8 * M2 => M2 = 15 men. More men required = 15 - 10 = 5.

This question belongs to: Maths Time and Work