Question

If 8 men can complete a work in 12 days, how many days will it take for 4 men to complete the same work?

• A. 24 days
• B. 32 days
• C. 48 days
• D. 96 days

Hint:

When the number of workers decreases, the time to complete the work increases in inverse proportion.

Answer 1

The Correct Option is A

Step 1: Understand the relationship between workers and time.
The number of workers and the time taken to complete a job are inversely proportional. This means that if the number of workers decreases, the time to complete the work increases.
Step 2: Apply the formula for inverse proportion.
The formula to calculate time when the number of workers changes is: \[ \text{Time} = \frac{\text{Initial number of men} \times \text{Initial time}}{\text{New number of men}} \] In this case, we have: \[ \text{Time} = \frac{8 \times 12}{4} = 24 \text{ days}. \]
Step 3: Conclusion.
Therefore, 4 men will take 24 days to complete the same work.