24 men can complete a work in 26 days. If 29 men work at the same rate, the work will be completed in: MCQ with Answer and Explanation

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24 men can complete a work in 26 days. If 29 men work at the same rate, the work will be completed in:

A. 31.52

B. 21.52

C. 36.52

D. 26.52

Answer: Option B

Solution (By JKSSB Mock Tests)

Total work = 624 man-days. Time = 624/29 = 21.52 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 16 days and B in 29 days. If they work together, the work will be completed in:

A. 10.31

B. 25.31

C. 15.31

D. 20.31

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Correct Answer: Option A

Explanation:
Combined rate = 1/16 + 1/29. Required time = 10.31 days.

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. 48.93

B. 46.43

C. 51.43

D. 53.93

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Correct Answer: Option B

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 24 days and B can complete the same work in 34 days. If they work together, in how many days will the work be completed?

A. 18.07

B. 16.07

C. 20.07

D. 14.07

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Correct Answer: Option D

Explanation:
Combined rate = 1/24 + 1/34. Time = 1 ÷ combined rate = 14.07 days.

This question belongs to: Maths Time and Work

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