A can complete a work in 8 days and B in 21 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

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A can complete a work in 8 days and B in 21 days. If they work together, the work will be completed in:

A. 15.79

B. 5.79

C. 20.79

D. 10.79

Answer: Option B

Solution (By JKSSB Mock Tests)

Combined rate = 1/8 + 1/21. Required time = 5.79 days.

This question belongs to: Maths Time and Work

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Question #1

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A can complete a work in 16 days and B in 18 days. If they work together, the work will be completed in:

A. 8.47

B. 13.47

C. 23.47

D. 18.47

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Correct Answer: Option A

Explanation:
Combined rate = 1/16 + 1/18. Required time = 8.47 days.

This question belongs to: Maths Time and Work

Question #2

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

A. 57.5

B. 55.0

C. 50.0

D. 52.5

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Correct Answer: Option C

Explanation:
A share = (1/24) / (1/24+1/24) ×100 = 50.0%.

This question belongs to: Maths Time and Work

Question #3

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

A. 14.52

B. 18.52

C. 12.52

D. 16.52

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Correct Answer: Option C

Explanation:
Combined rate = 1/21 + 1/31. Time = 1 ÷ combined rate = 12.52 days.

This question belongs to: Maths Time and Work

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