13 men can complete a work in 30 days. If 18 men work at the same rate, the work will be completed in: MCQ with Answer and Explanation

13 men can complete a work in 30 days. If 18 men work at the same rate, the work will be completed in:
A. 26.67
B. 21.67
C. 31.67
D. 36.67
Answer: Option B
Solution (By JKSSB Mock Tests)
Total work = 390 man-days. Time = 390/18 = 21.67 days.

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Practice More Time and Work Questions

Question #1
A and B can do a piece of work in 10 days and 15 days respectively. They work together for 2 days and then A is replaced by C. The work is finished in next 4 days. In how many days can C alone finish the work?
A. 15 days
B. 12 days
C. 10 days
D. 8 days

Correct Answer: Option C


Explanation:
Total work = LCM(10, 15) = 30 units. Efficiency of A = 3, B = 2. In 2 days, A and B do 2 * (3 + 2) = 10 units. Remaining work = 30 - 10 = 20 units. This is completed by B and C in 4 days, so combined efficiency of B and C = 20 / 4 = 5 units/day. Since efficiency of B = 2, efficiency of C = 5 - 2 = 3 units/day. Time taken by C alone = 30 / 3 = 10 days.

This question belongs to: Maths Time and Work
Question #2
A can do a work in 18 days and B in 28 days. They work together for 5 days. What percentage of work remains?
A. 69.37
B. 59.37
C. 64.37
D. 54.37

Correct Answer: Option D


Explanation:
Remaining work = (1 - 5*(1/18+1/28)) ×100 = 54.37%.

This question belongs to: Maths Time and Work
Question #3
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. 5 days
B. 3 days
C. 4 days
D. 2 days

Correct Answer: Option B


Explanation:
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.

This question belongs to: Maths Time and Work