A and B work together. A alone can complete the work in 24 days and B alone in 28 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 28 days. What percentage of the total daily work is contributed by A?

A. 53.85

B. 56.35

C. 58.85

D. 61.35

Answer: Option A

Solution (By JKSSB Mock Tests)

A share = (1/24) / (1/24+1/28) ×100 = 53.85%.

This question belongs to: Maths Time and Work

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Question #1

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A can complete a work in 23 days and B in 28 days. If both work together, in how many days will the work be completed?

A. 12.63

B. 20.13

C. 15.13

D. 17.63

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Correct Answer: Option A

Explanation:
Combined rate = 1/23 + 1/28. Time = 12.63 days.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 23 days and B can complete the same work in 18 days. If they work together, in how many days will the work be completed?

A. 14.1

B. 10.1

C. 12.1

D. 16.1

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Correct Answer: Option B

Explanation:
Combined rate = 1/23 + 1/18. Time = 1 ÷ combined rate = 10.1 days.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 21 days and B in 42 days. After working together for 5 days, what percentage of work remains?

A. 66.79

B. 69.29

C. 64.29

D. 71.79

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Correct Answer: Option C

Explanation:
Remaining work = (1 - 5*(1/21+1/42))×100 = 64.29%.

This question belongs to: Maths Time and Work

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