A can complete a work in 19 days and B in 41 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 19 days and B in 41 days. If both work together, in how many days will the work be completed?

A. 17.98

B. 12.98

C. 20.48

D. 15.48

Answer: Option B

Combined rate = 1/19 + 1/41. Time = 12.98 days.

This question belongs to: Maths Time and Work

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Question #1 Report Error

A can complete a work in 23 days and B in 46 days. After working together for 5 days, what percentage of work remains?

A. 72.39

B. 74.89

C. 67.39

D. 69.89

Correct Answer: Option C

Explanation:
Remaining work = (1 - 5*(1/23+1/46))×100 = 67.39%.

This question belongs to: Maths Time and Work

Question #2 Report Error

A and B work together. A alone can complete the work in 30 days and B alone in 34 days. What percentage of the total daily work is contributed by A?

A. 55.62

B. 60.62

C. 58.12

D. 53.12

Correct Answer: Option D

Explanation:
A share = (1/30) / (1/30+1/34) ×100 = 53.12%.

This question belongs to: Maths Time and Work

Question #3 Report Error

10 men can complete a work in 26 days. If 14 men work at the same rate, in how many days will the work be completed?

A. 24.57

B. 22.57

C. 18.57

D. 20.57

Correct Answer: Option C

Explanation:
Total work = 10 × 26 = 260 man-days. Required days = 260/14 = 18.57 days.

This question belongs to: Maths Time and Work