9 men can complete a work in 19 days. If 13 men work at the same rate, in how many days will the work be completed? MCQ with Answer and Explanation

9 men can complete a work in 19 days. If 13 men work at the same rate, in how many days will the work be completed?
A. 17.15
B. 13.15
C. 19.15
D. 15.15
Answer: Option B
Solution (By JKSSB Mock Tests)
Total work = 9 × 19 = 171 man-days. Required days = 171/13 = 13.15 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 24 days and B can complete the same work in 24 days. If they work together, in how many days will the work be completed?
A. 16.0
B. 14.0
C. 12.0
D. 18.0

Correct Answer: Option C


Explanation:
Combined rate = 1/24 + 1/24. Time = 1 ÷ combined rate = 12.0 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 18 days and B can complete the same work in 18 days. If they work together, in how many days will the work be completed?
A. 15.0
B. 11.0
C. 9.0
D. 13.0

Correct Answer: Option C


Explanation:
Combined rate = 1/18 + 1/18. Time = 1 ÷ combined rate = 9.0 days.

This question belongs to: Maths Time and Work
Question #3
A can do a piece of work in 25 days and B can finish it in 20 days. They work together for 5 days and then A leaves. In how many days will B finish the remaining work?
A. 9 days
B. 11 days
C. 10 days
D. 12 days

Correct Answer: Option B


Explanation:
Total work = LCM(25, 20) = 100 units. Efficiency of A = 4, B = 5. Combined efficiency = 9 units/day. In 5 days, work done = 5 * 9 = 45 units. Remaining work = 100 - 45 = 55 units. Time taken by B to complete remaining work = 55 / 5 = 11 days.

This question belongs to: Maths Time and Work