12 men can complete a work in 28 days. If 16 men work at the same rate, in how many days will the work be completed? MCQ with Answer and Explanation

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12 men can complete a work in 28 days. If 16 men work at the same rate, in how many days will the work be completed?

A. 21.0

B. 25.0

C. 27.0

D. 23.0

Answer: Option A

Solution (By JKSSB Mock Tests)

Total work = 12 × 28 = 336 man-days. Required days = 336/16 = 21.0 days.

This question belongs to: Maths Time and Work

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Question #1

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17 men can complete a work in 14 days. If 22 men work at the same rate, the work will be completed in:

A. 15.82

B. 10.82

C. 20.82

D. 25.82

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Correct Answer: Option B

Explanation:
Total work = 238 man-days. Time = 238/22 = 10.82 days.

This question belongs to: Maths Time and Work

Question #2

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17 men can complete a work in 27 days. If 21 men work at the same rate, in how many days will the work be completed?

A. 21.86

B. 27.86

C. 23.86

D. 25.86

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Correct Answer: Option A

Explanation:
Total work = 17 × 27 = 459 man-days. Required days = 459/21 = 21.86 days.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 8 days and B in 29 days. If they work together, the work will be completed in:

A. 11.27

B. 16.27

C. 6.27

D. 21.27

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Correct Answer: Option C

Explanation:
Combined rate = 1/8 + 1/29. Required time = 6.27 days.

This question belongs to: Maths Time and Work

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