27 men can complete a work in 20 days. If 35 men work at the same rate, how many days are required? MCQ with Answer and Explanation

27 men can complete a work in 20 days. If 35 men work at the same rate, how many days are required?
A. 17.93
B. 20.43
C. 22.93
D. 15.43
Answer: Option D
Solution (By JKSSB Mock Tests)
Total work = 540 man-days. Days = 15.43.

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Practice More Time and Work Questions

Question #1
A can complete a work in 10 days and B can complete the same work in 25 days. If they work together, in how many days will the work be completed?
A. 7.14
B. 9.14
C. 13.14
D. 11.14

Correct Answer: Option A


Explanation:
Combined rate = 1/10 + 1/25. Time = 1 ÷ combined rate = 7.14 days.

This question belongs to: Maths Time and Work
Question #2
A and B together can complete a piece of work in 8 days. If A alone can complete the same work in 12 days, in how many days can B alone complete it?
A. 24 days
B. 20 days
C. 16 days
D. 18 days

Correct Answer: Option A


Explanation:
Total work = LCM(8, 12) = 24 units. Combined efficiency of A and B = 3. Efficiency of A = 2. Efficiency of B = 3 - 2 = 1. Time taken by B alone = 24 / 1 = 24 days.

This question belongs to: Maths Time and Work
Question #3
If 6 men and 8 boys can do a piece of work in 10 days, then 3 men and 4 boys will do the same work in:
A. 12 days
B. 15 days
C. 5 days
D. 20 days

Correct Answer: Option D


Explanation:
The number of workers (3 men and 4 boys) is exactly half of the original group (6 men and 8 boys). Since efficiency becomes half, the time taken will double. Total time = 10 * 2 = 20 days.

This question belongs to: Maths Time and Work