13 men can complete a work in 29 days. If 17 men work at the same rate, in how many days will the work be completed? MCQ with Answer and Explanation

13 men can complete a work in 29 days. If 17 men work at the same rate, in how many days will the work be completed?
A. 28.18
B. 24.18
C. 22.18
D. 26.18
Answer: Option C
Solution (By JKSSB Mock Tests)
Total work = 13 × 29 = 377 man-days. Required days = 377/17 = 22.18 days.

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Practice More Time and Work Questions

Question #1
A and B work together. A alone can complete the work in 18 days and B alone in 30 days. What percentage of the total daily work is contributed by A?
A. 67.5
B. 65.0
C. 62.5
D. 70.0

Correct Answer: Option C


Explanation:
A share = (1/18) / (1/18+1/30) ×100 = 62.5%.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 20 days and B in 30 days. They start together but A leaves after 4 days. In how many total days will the work be completed?
A. 25 days
B. 20 days
C. 24 days
D. 16 days

Correct Answer: Option C


Explanation:
Total work = LCM(20, 30) = 60 units. Efficiency of A = 3, B = 2. In 4 days, work completed = 4 * (3 + 2) = 20 units. Remaining work = 60 - 20 = 40 units. Time taken by B to finish remaining work = 40 / 2 = 20 days. Total days = 4 + 20 = 24 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 24 days and B can complete the same work in 34 days. If they work together, in how many days will the work be completed?
A. 14.07
B. 20.07
C. 16.07
D. 18.07

Correct Answer: Option A


Explanation:
Combined rate = 1/24 + 1/34. Time = 1 ÷ combined rate = 14.07 days.

This question belongs to: Maths Time and Work