31 men can complete a work in 29 days. If 39 men work at the same rate, how many days are required? MCQ with Answer and Explanation

31 men can complete a work in 29 days. If 39 men work at the same rate, how many days are required?
A. 30.55
B. 28.05
C. 25.55
D. 23.05
Answer: Option D
Solution (By JKSSB Mock Tests)
Total work = 899 man-days. Days = 23.05.

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Practice More Time and Work Questions

Question #1
A can complete a work in 23 days and B in 28 days. If both work together, in how many days will the work be completed?
A. 15.13
B. 12.63
C. 17.63
D. 20.13

Correct Answer: Option B


Explanation:
Combined rate = 1/23 + 1/28. Time = 12.63 days.

This question belongs to: Maths Time and Work
Question #2
A can do a piece of work in 15 days and B in 20 days. They began the work together but A left after 4 days. In how many days will B complete the remaining work?
A. 10(1/3) days
B. 9(1/3) days
C. 10(2/3) days
D. 8 days

Correct Answer: Option C


Explanation:
Total work = LCM(15, 20) = 60 units. Efficiency of A = 4, B = 3. Combined efficiency = 7. In 4 days, work completed = 4 * 7 = 28 units. Remaining work = 60 - 28 = 32 units. Time taken by B to complete remaining work = 32 / 3 = 10(2/3) days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 8 days and B in 13 days. If they work together, the work will be completed in:
A. 4.95
B. 19.95
C. 9.95
D. 14.95

Correct Answer: Option A


Explanation:
Combined rate = 1/8 + 1/13. Required time = 4.95 days.

This question belongs to: Maths Time and Work