A and B work together. A alone can complete the work in 24 days and B alone in 30 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 30 days. What percentage of the total daily work is contributed by A?

A. 63.06

B. 58.06

C. 60.56

D. 55.56

Answer: Option D

Solution (By JKSSB Mock Tests)

A share = (1/24) / (1/24+1/30) ×100 = 55.56%.

This question belongs to: Maths Time and Work

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Question #1

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

A. 8.88

B. 10.88

C. 12.88

D. 14.88

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Correct Answer: Option A

Explanation:
Combined rate = 1/13 + 1/28. Time = 1 ÷ combined rate = 8.88 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 18 days and B alone in 24 days. What percentage of the total daily work is contributed by A?

A. 64.64

B. 59.64

C. 57.14

D. 62.14

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Correct Answer: Option C

Explanation:
A share = (1/18) / (1/18+1/24) ×100 = 57.14%.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 12 days and B can complete the same work in 32 days. If they work together, in how many days will the work be completed?

A. 10.73

B. 8.73

C. 14.73

D. 12.73

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Correct Answer: Option B

Explanation:
Combined rate = 1/12 + 1/32. Time = 1 ÷ combined rate = 8.73 days.

This question belongs to: Maths Time and Work

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