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

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

A. 15.0

B. 21.0

C. 19.0

D. 17.0

Answer: Option A

Solution (By JKSSB Mock Tests)

Total work = 15 × 19 = 285 man-days. Required days = 285/19 = 15.0 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 19 days and B in 19 days. If both work together, in how many days will the work be completed?

A. 9.5

B. 17.0

C. 12.0

D. 14.5

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Correct Answer: Option A

Explanation:
Combined rate = 1/19 + 1/19. Time = 9.5 days.

This question belongs to: Maths Time and Work

Question #2

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A is 50% more efficient than B. If A can complete a piece of work in 12 days, in how many days can B complete the same work?

A. 20 days

B. 18 days

C. 24 days

D. 15 days

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Correct Answer: Option B

Explanation:
Let efficiency of B = 2, then efficiency of A = 3. Total work = Efficiency of A * Time of A = 3 * 12 = 36 units. Time taken by B = 36 / 2 = 18 days.

This question belongs to: Maths Time and Work

Question #3

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15 men can complete a work in 25 days. If 19 men work at the same rate, in how many days will the work be completed?

A. 25.74

B. 21.74

C. 19.74

D. 23.74

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Correct Answer: Option C

Explanation:
Total work = 15 × 25 = 375 man-days. Required days = 375/19 = 19.74 days.

This question belongs to: Maths Time and Work

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