A can complete a work in 20 days and B in 40 days. After working together for 5 days, what percentage of work remains? MCQ with Answer and Explanation

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A can complete a work in 20 days and B in 40 days. After working together for 5 days, what percentage of work remains?

A. 70.0

B. 65.0

C. 62.5

D. 67.5

Answer: Option C

Solution (By JKSSB Mock Tests)

Remaining work = (1 - 5*(1/20+1/40))×100 = 62.5%.

This question belongs to: Maths Time and Work

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Question #1

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

A. 49.44

B. 51.94

C. 46.94

D. 44.44

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Correct Answer: Option D

Explanation:
A share = (1/30) / (1/30+1/24) ×100 = 44.44%.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 16 days and B in 20 days. If both work together, in how many days will the work be completed?

A. 13.89

B. 16.39

C. 8.89

D. 11.39

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Correct Answer: Option C

Explanation:
Combined rate = 1/16 + 1/20. Time = 8.89 days.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 10 days and B in 30 days. If they work together, the work will be completed in:

A. 17.5

B. 22.5

C. 12.5

D. 7.5

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Correct Answer: Option D

Explanation:
Combined rate = 1/10 + 1/30. Required time = 7.5 days.

This question belongs to: Maths Time and Work

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