15 men working 8 hours per day complete a piece of work in 18 days. To…
2024
15 men working 8 hours per day complete a piece of work in 18 days. To complete the same work in 6 days, working 12 hours a day, the number of men required will be:
- A.
24 men
- B.
26 men
- C.
28 men
- D.
30 men
Attempted by 6 students.
Show answer & explanation
Correct answer: D
To solve this problem, we use the concept of man-hours. The total work done remains constant. We can equate the product of men, days, and hours for both scenarios: M1 × D1 × H1 = M2 × D2 × H2. Substituting the given values: 15 × 18 × 8 = M2 × 6 × 12. Simplifying the left side gives 2160 man-hours. The right side becomes M2 × 72. Dividing both sides by 72, we find M2 = 30. Therefore, 30 men are required.