A can complete a work in 28 days and B in 39 days. If both work together, in how many days will the work be completed? MCQ with Answer and Explanation

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A can complete a work in 28 days and B in 39 days. If both work together, in how many days will the work be completed?

A. 16.3

B. 21.3

C. 18.8

D. 23.8

Answer: Option A

Solution (By JKSSB Mock Tests)

Combined rate = 1/28 + 1/39. Time = 16.3 days.

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. What percentage of the work will be completed in 7 days?

A. 35.43

B. 30.43

C. 32.93

D. 37.93

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Correct Answer: Option B

Explanation:
Completed percentage = (7/23)×100 = 30.43%.

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 30 days and B alone in 26 days. What percentage of the total daily work is contributed by A?

A. 46.43

B. 48.93

C. 53.93

D. 51.43

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Correct Answer: Option A

Explanation:
A share = (1/30) / (1/30+1/26) ×100 = 46.43%.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 23 days and B in 21 days. If both work together, in how many days will the work be completed?

A. 15.98

B. 13.48

C. 10.98

D. 18.48

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Correct Answer: Option C

Explanation:
Combined rate = 1/23 + 1/21. Time = 10.98 days.

This question belongs to: Maths Time and Work

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