10 men can complete a work in 26 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 26 days. If 14 men work at the same rate, in how many days will the work be completed?

A. 20.57

B. 24.57

C. 22.57

D. 18.57

Answer: Option D

Solution (By JKSSB Mock Tests)

Total work = 10 × 26 = 260 man-days. Required days = 260/14 = 18.57 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 24 days and B in 18 days. If they work together, the work will be completed in:

A. 10.29

B. 25.29

C. 20.29

D. 15.29

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Correct Answer: Option A

Explanation:
Combined rate = 1/24 + 1/18. Required time = 10.29 days.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 16 days and B in 27 days. If both work together, in how many days will the work be completed?

A. 10.05

B. 17.55

C. 15.05

D. 12.55

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Correct Answer: Option A

Explanation:
Combined rate = 1/16 + 1/27. Time = 10.05 days.

This question belongs to: Maths Time and Work

Question #3

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A and B can do a piece of work in 12 days, B and C in 15 days, and C and A in 20 days. In how many days will A, B, and C finish it working together?

A. 5 days

B. 10 days

C. 8 days

D. 12 days

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Correct Answer: Option B

Explanation:
2(A + B + C)'s 1-day work = 1/12 + 1/15 + 1/20 = 12/60 = 1/5. Therefore, (A + B + C)'s 1-day work = 1/10. Working together, they finish in 10 days.

This question belongs to: Maths Time and Work

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