A can complete a work in 21 days and B in 31 days. If both work together, in how many days will the work be completed? MCQ with Answer and Explanation

A can complete a work in 21 days and B in 31 days. If both work together, in how many days will the work be completed?

A. 20.02

B. 12.52

C. 15.02

D. 17.52

Answer: Option B

Combined rate = 1/21 + 1/31. Time = 12.52 days.

This question belongs to: Maths Time and Work

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Question #1 Report Error

29 men can complete a work in 32 days. If 37 men work at the same rate, how many days are required?

A. 30.08

B. 32.58

C. 25.08

D. 27.58

Correct Answer: Option C

Explanation:
Total work = 928 man-days. Days = 25.08.

This question belongs to: Maths Time and Work

Question #2 Report Error

A can complete a work in 12 days and B can complete the same work in 32 days. If they work together, in how many days will the work be completed?

A. 14.73

B. 10.73

C. 12.73

D. 8.73

Correct Answer: Option D

Explanation:
Combined rate = 1/12 + 1/32. Time = 1 ÷ combined rate = 8.73 days.

This question belongs to: Maths Time and Work

Question #3 Report Error

A can complete a work in 18 days and B can complete the same work in 23 days. If they work together, in how many days will the work be completed?

A. 12.1

B. 10.1

C. 16.1

D. 14.1

Correct Answer: Option B

Explanation:
Combined rate = 1/18 + 1/23. Time = 1 ÷ combined rate = 10.1 days.

This question belongs to: Maths Time and Work