9 men can complete a work in 25 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 25 days. If 13 men work at the same rate, in how many days will the work be completed?
A. 21.31
B. 23.31
C. 17.31
D. 19.31
Answer: Option C
Solution (By JKSSB Mock Tests)
Total work = 9 × 25 = 225 man-days. Required days = 225/13 = 17.31 days.

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Practice More Time and Work Questions

Question #1
A can complete a project in 20 days and B in 30 days. If they work on alternate days starting with A, in how many days will the project be completed?
A. 26 days
B. 24 days
C. 22 days
D. 25 days

Correct Answer: Option B


Explanation:
Total work = LCM(20, 30) = 60 units. Efficiency of A = 3, B = 2. In a 2-day cycle (A then B), work completed = 3 + 2 = 5 units. Number of cycles required = 60 / 5 = 12 cycles. Total time = 12 * 2 = 24 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 20 days and B in 14 days. If they work together, the work will be completed in:
A. 23.24
B. 13.24
C. 18.24
D. 8.24

Correct Answer: Option D


Explanation:
Combined rate = 1/20 + 1/14. Required time = 8.24 days.

This question belongs to: Maths Time and Work
Question #3
A and B together can complete a piece of work in 4 days. If A alone can complete the same work in 12 days, in how many days can B alone complete it?
A. 7 days
B. 8 days
C. 9 days
D. 6 days

Correct Answer: Option D


Explanation:
Combined 1-day work = 1/4. A's 1-day work = 1/12. B's 1-day work = 1/4 - 1/12 = 2/12 = 1/6. Therefore, B alone can complete the work in 6 days.

This question belongs to: Maths Time and Work