A can complete a work in 15 days and B in 18 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

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A can complete a work in 15 days and B in 18 days. If they work together, the work will be completed in:

A. 18.18

B. 13.18

C. 23.18

D. 8.18

Answer: Option D

Solution (By JKSSB Mock Tests)

Combined rate = 1/15 + 1/18. Required time = 8.18 days.

This question belongs to: Maths Time and Work

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Question #1

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

A. 15.0

B. 13.0

C. 9.0

D. 11.0

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Correct Answer: Option C

Explanation:
Total work = 9 × 13 = 117 man-days. Required days = 117/13 = 9.0 days.

This question belongs to: Maths Time and Work

Question #2

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If 8 men or 12 women can do a piece of work in 25 days, in how many days can 6 men and 11 women do the same work?

A. 12 days

B. 16 days

C. 15 days

D. 18 days

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Correct Answer: Option C

Explanation:
8 Men = 12 Women => 1 Man = 1.5 Women. 6 men + 11 women = 6 * 1.5 + 11 = 9 + 11 = 20 women. Since 12 women do the work in 25 days, 20 women will do it in (12 * 25) / 20 = 300 / 20 = 15 days.

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 46 days. After working together for 5 days, what percentage of work remains?

A. 69.89

B. 72.39

C. 74.89

D. 67.39

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Correct Answer: Option D

Explanation:
Remaining work = (1 - 5*(1/23+1/46))×100 = 67.39%.

This question belongs to: Maths Time and Work

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