A can complete a work in 13 days and B in 28 days. If both work together, in how many days will the work be completed? MCQ with Answer and Explanation

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A can complete a work in 13 days and B in 28 days. If both work together, in how many days will the work be completed?

A. 16.38

B. 11.38

C. 8.88

D. 13.88

Answer: Option C

Solution (By JKSSB Mock Tests)

Combined rate = 1/13 + 1/28. Time = 8.88 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. 66.12

B. 58.62

C. 61.12

D. 63.62

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Correct Answer: Option B

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 18 days and B in 36 days. After working together for 5 days, what percentage of work remains?

A. 58.33

B. 63.33

C. 65.83

D. 60.83

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Correct Answer: Option A

Explanation:
Remaining work = (1 - 5*(1/18+1/36))×100 = 58.33%.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 16 days and B can complete the same work in 16 days. If they work together, in how many days will the work be completed?

A. 14.0

B. 10.0

C. 12.0

D. 8.0

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Correct Answer: Option D

Explanation:
Combined rate = 1/16 + 1/16. Time = 1 ÷ combined rate = 8.0 days.

This question belongs to: Maths Time and Work

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