A and B work together. A alone can complete the work in 18 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 18 days and B alone in 28 days. What percentage of the total daily work is contributed by A?

A. 63.37

B. 65.87

C. 68.37

D. 60.87

Answer: Option D

Solution (By JKSSB Mock Tests)

A share = (1/18) / (1/18+1/28) ×100 = 60.87%.

This question belongs to: Maths Time and Work

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Question #1

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A can complete a work in 9 days and B in 16 days. If they work together, the work will be completed in:

A. 15.76

B. 5.76

C. 20.76

D. 10.76

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Correct Answer: Option B

Explanation:
Combined rate = 1/9 + 1/16. Required time = 5.76 days.

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 16 days. If they work together, the work will be completed in:

A. 23.47

B. 18.47

C. 13.47

D. 8.47

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Correct Answer: Option D

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

This question belongs to: Maths Time and Work

Question #3

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A can do a work in 14 days and B in 24 days. They work together for 5 days. What percentage of work remains?

A. 43.45

B. 53.45

C. 58.45

D. 48.45

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Correct Answer: Option A

Explanation:
Remaining work = (1 - 5*(1/14+1/24)) ×100 = 43.45%.

This question belongs to: Maths Time and Work

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