A can complete a work in 23 days and B in 46 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 23 days and B in 46 days. After working together for 5 days, what percentage of work remains?

A. 69.89

B. 74.89

C. 72.39

D. 67.39

Answer: Option D

Solution (By JKSSB Mock Tests)

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

This question belongs to: Maths Time and Work

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Question #1

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A can do a piece of work in 10 days and B can do the same work in 15 days. If they work together, in how many days will the work be completed?

A. 6 days

B. 5 days

C. 8 days

D. 9 days

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Correct Answer: Option A

Explanation:
A's 1-day work = 1/10, B's 1-day work = 1/15. Combined 1-day work = 1/10 + 1/15 = 5/30 = 1/6. Therefore, they will complete the work together in 6 days.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 11 days and B can complete the same work in 26 days. If they work together, in how many days will the work be completed?

A. 13.73

B. 11.73

C. 7.73

D. 9.73

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Correct Answer: Option C

Explanation:
Combined rate = 1/11 + 1/26. Time = 1 ÷ combined rate = 7.73 days.

This question belongs to: Maths Time and Work

Question #3

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14 men can complete a work in 18 days. If 18 men work at the same rate, in how many days will the work be completed?

A. 14.0

B. 16.0

C. 18.0

D. 20.0

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Correct Answer: Option A

Explanation:
Total work = 14 × 18 = 252 man-days. Required days = 252/18 = 14.0 days.

This question belongs to: Maths Time and Work

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