11 men can complete a work in 15 days. If 15 men work at the same rate, in how many days will the work be completed? MCQ with Answer and Explanation

11 men can complete a work in 15 days. If 15 men work at the same rate, in how many days will the work be completed?
A. 15.0
B. 11.0
C. 13.0
D. 17.0
Answer: Option B
Solution (By JKExamLibrary)
Total work = 11 × 15 = 165 man-days. Required days = 165/15 = 11.0 days.

This question belongs to: Maths Time and Work

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Practice More Time and Work Questions

Question #1 Report Error
A work could be completed in 100 days by some workers. However, due to the absence of 10 workers, it was completed in 110 days. Find the original number of workers.
A. 55
B. 120
C. 110
D. 100

Correct Answer: Option C


Explanation:
Let the original number of workers be x. Using M1 * D1 = M2 * D2: x * 100 = (x - 10) * 110 => 100x = 110x - 1100 => 10x = 1100 => x = 110.

This question belongs to: Maths Time and Work
Question #2 Report Error
A can complete a work in 13 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. 11.55
B. 7.55
C. 9.55
D. 13.55

Correct Answer: Option B


Explanation:
Combined rate = 1/13 + 1/18. Time = 1 ÷ combined rate = 7.55 days.

This question belongs to: Maths Time and Work
Question #3 Report Error
A can complete a work in 24 days and B in 45 days. If both work together, in how many days will the work be completed?
A. 23.15
B. 18.15
C. 20.65
D. 15.65

Correct Answer: Option D


Explanation:
Combined rate = 1/24 + 1/45. Time = 15.65 days.

This question belongs to: Maths Time and Work