14 men can complete a work in 26 days. If 19 men work at the same rate, the work will be completed in: MCQ with Answer and Explanation

Question
14 men can complete a work in 26 days. If 19 men work at the same rate, the work will be completed in:
A. 19.16
B. 29.16
C. 24.16
D. 34.16
Answer: Option A
Solution (By JKSSB Mock Tests)
Total work = 364 man-days. Time = 364/19 = 19.16 days.
This question belongs to: Maths Time and Work
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Practice More Time and Work Questions

Question #1
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. 14.57
C. 10.57
D. 8.57
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Correct Answer: Option D

Explanation:
Combined rate = 1/15 + 1/20. Time = 1 ÷ combined rate = 8.57 days.
This question belongs to: Maths Time and Work
Question #2
If 10 men or 20 women can do a piece of work in 13 days, in how many days will 24 men and 17 women complete the same work?
A. 4 days
B. 6 days
C. 5 days
D. 7 days
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Correct Answer: Option A

Explanation:
10 Men = 20 Women => 1 Man = 2 Women. 24 men + 17 women = 24 * 2 + 17 = 48 + 17 = 65 women. Since 20 women do the work in 13 days, 65 women will do it in (20 * 13) / 65 = 260 / 65 = 4 days.
This question belongs to: Maths Time and Work
Question #3
A can complete a work in 19 days and B can complete the same work in 24 days. If they work together, in how many days will the work be completed?
A. 12.6
B. 16.6
C. 10.6
D. 14.6
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Correct Answer: Option C

Explanation:
Combined rate = 1/19 + 1/24. Time = 1 ÷ combined rate = 10.6 days.
This question belongs to: Maths Time and Work
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