A and B together can complete a piece of work in 4 days. If A alone can complete the same work in 12 days, in how many days can B alone complete it? MCQ with Answer and Explanation

Question

A and B together can complete a piece of work in 4 days. If A alone can complete the same work in 12 days, in how many days can B alone complete it?

A. 7 days

B. 8 days

C. 9 days

D. 6 days

Answer: Option D

Solution (By JKSSB Mock Tests)

Combined 1-day work = 1/4. A's 1-day work = 1/12. B's 1-day work = 1/4 - 1/12 = 2/12 = 1/6. Therefore, B alone can complete the work in 6 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 22 days. What percentage of work will A complete in 6 days?

A. 32.27

B. 27.27

C. 42.27

D. 37.27

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Correct Answer: Option B

Explanation:
Percentage completed = (6/22) × 100 = 27.27%.

This question belongs to: Maths Time and Work

Question #2

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21 men can complete a work in 29 days. If 29 men work at the same rate, how many days are required?

A. 28.5

B. 26.0

C. 21.0

D. 23.5

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Correct Answer: Option C

Explanation:
Total work = 609 man-days. Days = 21.0.

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Question #3

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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. 8.89

C. 16.39

D. 11.39

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Correct Answer: Option B

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

This question belongs to: Maths Time and Work

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