18 men can complete a work in 28 days. If 22 men work at the same rate, in how many days will the work be completed? MCQ with Answer and Explanation

18 men can complete a work in 28 days. If 22 men work at the same rate, in how many days will the work be completed?
A. 24.91
B. 26.91
C. 28.91
D. 22.91
Answer: Option D
Solution (By JKSSB Mock Tests)
Total work = 18 × 28 = 504 man-days. Required days = 504/22 = 22.91 days.

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Practice More Time and Work Questions

Question #1
A, B and C can do a work in 6, 8 and 12 hours respectively. If they work together, how many hours will they take to complete the work?
A. 3(1/3) hours
B. 2(1/2) hours
C. 2(2/3) hours
D. 3 hours

Correct Answer: Option C


Explanation:
Total work = LCM(6, 8, 12) = 24 units. Efficiency of A = 4, B = 3, C = 2. Combined efficiency = 4 + 3 + 2 = 9. Time taken together = 24 / 9 = 8 / 3 = 2(2/3) hours.

This question belongs to: Maths Time and Work
Question #2
19 men can complete a work in 32 days. If 27 men work at the same rate, how many days are required?
A. 30.02
B. 25.02
C. 22.52
D. 27.52

Correct Answer: Option C


Explanation:
Total work = 608 man-days. Days = 22.52.

This question belongs to: Maths Time and Work
Question #3
A and B can complete a work in 12 days and 16 days respectively. Both work together for 3 days and then A leaves. How long will B take to complete the remaining work?
A. 8 days
B. 11 days
C. 10 days
D. 9 days

Correct Answer: Option D


Explanation:
Total work = LCM(12, 16) = 48 units. Efficiency of A = 4, B = 3. Combined efficiency = 7 units/day. In 3 days, work completed = 3 * 7 = 21 units. Remaining work = 48 - 21 = 27 units. Time taken by B to complete remaining work = 27 / 3 = 9 days.

This question belongs to: Maths Time and Work