19 men can complete a work in 29 days. If 23 men work at the same rate, in how many days will the work be completed? MCQ with Answer and Explanation

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19 men can complete a work in 29 days. If 23 men work at the same rate, in how many days will the work be completed?

A. 27.96

B. 25.96

C. 29.96

D. 23.96

Answer: Option D

Solution (By JKSSB Mock Tests)

Total work = 19 × 29 = 551 man-days. Required days = 551/23 = 23.96 days.

This question belongs to: Maths Time and Work

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Question #1

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A, B and C can complete a piece of work in 12, 15 and 20 days respectively. If they work together, what is the ratio of their wages?

A. 4 : 5 : 6

B. 5 : 4 : 3

C. 5 : 3 : 4

D. 3 : 4 : 5

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Correct Answer: Option B

Explanation:
Wages are distributed in the ratio of their efficiencies. Ratio of time taken = 12 : 15 : 20. Ratio of efficiencies = 1/12 : 1/15 : 1/20. Multiplying by LCM (60), we get 5 : 4 : 3.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 8 days and B in 21 days. If they work together, the work will be completed in:

A. 10.79

B. 15.79

C. 20.79

D. 5.79

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Correct Answer: Option D

Explanation:
Combined rate = 1/8 + 1/21. Required time = 5.79 days.

This question belongs to: Maths Time and Work

Question #3

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15 men can complete a work in 22 days. If 20 men work at the same rate, the work will be completed in:

A. 31.5

B. 26.5

C. 21.5

D. 16.5

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Correct Answer: Option D

Explanation:
Total work = 330 man-days. Time = 330/20 = 16.5 days.

This question belongs to: Maths Time and Work

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