If 48 men can do a piece of work in 25 hours, how much time will it take for 15 men to finish the
same task?
A. 75 hours
B. 60 hours
C. 80 hours
D. 85 hours

Understanding Work and Man-Hour Concepts

Work problems involving men and time are common in aptitude tests and real-life planning. They revolve around the concept of man-hours, which combines the number of workers and the time they work.

The Given Scenario:

• 48 men can complete a job in 25 hours.
• How long will 15 men take to do the same job?

Step-by-Step Calculation

Let’s calculate the total amount of work in man-hours:

Total Work = Number of Men × Time
            = 48 men × 25 hours
            = 1200 man-hours

Now, if 15 men are doing the same 1200 man-hours of work, we calculate the required time:

Time = Total Work / Number of Men
     = 1200 / 15
     = 80 hours

Final Answer:

• A. 75 hours – Incorrect
• B. 60 hours – Incorrect
• C. 80 hours – ✅ Correct Answer
• D. 85 hours – Incorrect

Key Takeaways

• Total work remains constant in such problems.
• Work is calculated using the formula: Work = Men × Time.
• Fewer workers mean more time required, assuming constant efficiency.

Understanding this concept helps in planning labor for construction, event management, and project timelines in various industries.