A and B together can do a piece of work in 6 days. If A alone can do it in 18 days, in how many days can B alone complete the work? MCQ with Answer and Explanation

Question

A and B together can do a piece of work in 6 days. If A alone can do it in 18 days, in how many days can B alone complete the work?

A. 20 days

B. 9 days

C. 12 days

D. 15 days

Answer: Option B

Solution (By JKSSB Mock Tests)

Combined 1-day work = 1/6. A's 1-day work = 1/18. B's 1-day work = 1/6 - 1/18 = 2/18 = 1/9. Therefore, B alone can complete the work in 9 days.

This question belongs to: Maths Time and Work

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Question #1

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13 men can complete a work in 29 days. If 17 men work at the same rate, in how many days will the work be completed?

A. 28.18

B. 24.18

C. 22.18

D. 26.18

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Correct Answer: Option C

Explanation:
Total work = 13 × 29 = 377 man-days. Required days = 377/17 = 22.18 days.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 22 days and B in 12 days. If they work together, the work will be completed in:

A. 22.76

B. 17.76

C. 7.76

D. 12.76

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Correct Answer: Option C

Explanation:
Combined rate = 1/22 + 1/12. Required time = 7.76 days.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 24 days and B in 23 days. If both work together, in how many days will the work be completed?

A. 19.24

B. 11.74

C. 14.24

D. 16.74

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Correct Answer: Option B

Explanation:
Combined rate = 1/24 + 1/23. Time = 11.74 days.

This question belongs to: Maths Time and Work

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