A and B work together. A alone can complete the work in 24 days and B alone in 26 days. What percentage of the total daily work is contributed by A? MCQ with Answer and Explanation

Question

A and B work together. A alone can complete the work in 24 days and B alone in 26 days. What percentage of the total daily work is contributed by A?

A. 54.5

B. 57.0

C. 59.5

D. 52.0

Answer: Option D

Solution (By JKSSB Mock Tests)

A share = (1/24) / (1/24+1/26) ×100 = 52.0%.

This question belongs to: Maths Time and Work

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Question #1

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A can complete a work in 12 days and B can complete the same work in 27 days. If they work together, in how many days will the work be completed?

A. 14.31

B. 10.31

C. 12.31

D. 8.31

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Correct Answer: Option D

Explanation:
Combined rate = 1/12 + 1/27. Time = 1 ÷ combined rate = 8.31 days.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 27 days and B in 37 days. If both work together, in how many days will the work be completed?

A. 20.61

B. 18.11

C. 23.11

D. 15.61

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Correct Answer: Option D

Explanation:
Combined rate = 1/27 + 1/37. Time = 15.61 days.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 15 days and B in 15 days. If they work together, the work will be completed in:

A. 12.5

B. 22.5

C. 17.5

D. 7.5

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Correct Answer: Option D

Explanation:
Combined rate = 1/15 + 1/15. Required time = 7.5 days.

This question belongs to: Maths Time and Work

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