23 men can complete a work in 26 days. If 31 men work at the same rate, how many days are required? MCQ with Answer and Explanation

23 men can complete a work in 26 days. If 31 men work at the same rate, how many days are required?

A. 26.79

B. 21.79

C. 24.29

D. 19.29

Answer: Option D

Total work = 598 man-days. Days = 19.29.

This question belongs to: Maths Time and Work

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Question #1 Report Error

A can complete a work in 19 days and B can complete the same work in 34 days. If they work together, in how many days will the work be completed?

A. 12.19

B. 16.19

C. 18.19

D. 14.19

Correct Answer: Option A

Explanation:
Combined rate = 1/19 + 1/34. Time = 1 ÷ combined rate = 12.19 days.

This question belongs to: Maths Time and Work

Question #2 Report Error

A can complete a work in 17 days and B in 24 days. If they work together, the work will be completed in:

A. 9.95

B. 14.95

C. 24.95

D. 19.95

Correct Answer: Option A

Explanation:
Combined rate = 1/17 + 1/24. Required time = 9.95 days.

This question belongs to: Maths Time and Work

Question #3 Report Error

A can complete a work in 11 days and B in 14 days. If they work together, the work will be completed in:

A. 16.16

B. 11.16

C. 21.16

D. 6.16

Correct Answer: Option D

Explanation:
Combined rate = 1/11 + 1/14. Required time = 6.16 days.

This question belongs to: Maths Time and Work