10 men can complete a work in 20 days. If 14 men work at the same rate, in how many days will the work be completed? MCQ with Answer and Explanation

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10 men can complete a work in 20 days. If 14 men work at the same rate, in how many days will the work be completed?

A. 18.29

B. 14.29

C. 16.29

D. 20.29

Answer: Option B

Solution (By JKSSB Mock Tests)

Total work = 10 × 20 = 200 man-days. Required days = 200/14 = 14.29 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 15 days and B can complete the same work in 20 days. If they work together, in how many days will the work be completed?

A. 12.57

B. 8.57

C. 10.57

D. 14.57

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Correct Answer: Option B

Explanation:
Combined rate = 1/15 + 1/20. Time = 1 ÷ combined rate = 8.57 days.

This question belongs to: Maths Time and Work

Question #2

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A can do a work in 9 days and B in 23 days. In how many days will they complete 75% of the work together?

A. 4.85

B. 12.35

C. 7.35

D. 9.85

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Correct Answer: Option A

Explanation:
Combined time for full work multiplied by 0.75 = 4.85 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 26 days. If they work together, the work will be completed in:

A. 27.48

B. 17.48

C. 22.48

D. 12.48

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Correct Answer: Option D

Explanation:
Combined rate = 1/24 + 1/26. Required time = 12.48 days.

This question belongs to: Maths Time and Work

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