Question

9 men working together can complete a piece of work in 12 days. How many days will it take for 24 men to complete the same piece of work?

• A. 2.5 days
• B. 3.5 days
• C. 4.5 days
• D. 5.5 days

Answer 1

The Correct Option is C

Step 1: Calculate the Total Work

If 9 men can complete the work in 12 days, then the total amount of work in man-days is:

\[ \text{Total work} = 9 \times 12 = 108 \text{ man-days} \] 

Step 2: Calculate the Time Required for 24 Men

If 24 men are working, the time taken to complete the work is:

\[ \text{Time} = \frac{108}{24} = 4.5 \text{ days} \]

Final Conclusion:

The time taken by 24 men to complete the work is 4.5 days.

Correct answer: (C) 4.5 days.