A can complete a work in 13 days and B can complete the same work in 23 days. If they work together, in how many days will the work be completed? MCQ with Answer and Explanation

Question

A can complete a work in 13 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. 8.31

B. 10.31

C. 14.31

D. 12.31

Answer: Option A

Solution (By JKSSB Mock Tests)

Combined rate = 1/13 + 1/23. Time = 1 ÷ combined rate = 8.31 days.

This question belongs to: Maths Time and Work

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Question #1

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A and B work together. A alone can complete the work in 24 days and B alone in 34 days. What percentage of the total daily work is contributed by A?

A. 61.12

B. 63.62

C. 66.12

D. 58.62

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Correct Answer: Option D

Explanation:
A share = (1/24) / (1/24+1/34) ×100 = 58.62%.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 17 days and B in 21 days. If they work together, the work will be completed in:

A. 19.39

B. 9.39

C. 14.39

D. 24.39

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Correct Answer: Option B

Explanation:
Combined rate = 1/17 + 1/21. Required time = 9.39 days.

This question belongs to: Maths Time and Work

Question #3

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15 men can complete a work in 22 days. If 20 men work at the same rate, the work will be completed in:

A. 26.5

B. 31.5

C. 21.5

D. 16.5

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Correct Answer: Option D

Explanation:
Total work = 330 man-days. Time = 330/20 = 16.5 days.

This question belongs to: Maths Time and Work

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