Question

A man can complete a job in 12 days. How many days will it take for 3 men to complete the same job, assuming they work at the same rate?

• A. 3
• B. 4
• C. 6
• D. 8

Hint:

For work problems, calculate the combined rate by adding individual rates, then use \( \text{Time} = \frac{1}{\text{Rate}} \), or divide total work by the number of workers.

Answer 1

The Correct Option is B

To solve the problem, we need to find how many days 3 men will take to complete the job if one man can complete it in 12 days, assuming they work at the same rate.

1. Understanding the Concepts:

- Work Rate: If one man completes the job in 12 days, his 1 day work is \( \frac{1}{12} \).
- Combined Work: When multiple men work together, their work rates add up.
- Total Time: The reciprocal of the combined daily work rate.

2. Given Values:

- One man's time = 12 days
- Number of men = 3

3. Calculate Combined Work Rate and Time:

- One man's 1 day work = \( \frac{1}{12} \)
- Three men's 1 day work = \( 3 \times \frac{1}{12} = \frac{3}{12} = \frac{1}{4} \)
- Time taken by 3 men = \( \frac{1}{\frac{1}{4}} = 4 \) days

Final Answer:

Three men will complete the job in 4 days.