Understanding the Total Work
To calculate the work done by 5 men in 12 days, we first need to determine the total amount of work done by the original group of men.
- 54 men can complete the work in 12 days.
- Therefore, the total work can be expressed as:
Total Work = Number of Men × Days = 54 men × 12 days
Calculating the Total Work
- Total Work = 54 × 12 = 648 man-days
This means the total work required for the job is 648 man-days.
Work Done by 5 Men in 12 Days
Now, we'll find out how much work 5 men can accomplish in the same time frame of 12 days.
- Work done by 5 men in 12 days = 5 men × 12 days = 60 man-days
Percentage of Total Work Done
To find the percentage of the total work done by 5 men:
- Percentage = (Work done by 5 men / Total Work) × 100
Substituting the values:
- Percentage = (60 man-days / 648 man-days) × 100
Calculating that gives:
- Percentage ≈ 9.26%
Conclusion
In conclusion, the amount of work done by 5 men in 12 days represents approximately 9.26% of the total work. This highlights the efficiency and productivity variations when comparing different group sizes in completing a task.