If two persons, with equal abilities, can do two jobs in two days, then 100 persons with equal abilities can do 100 similar Jobs in

Options

A. 100 days
B. 10 days
C. 5 days
D. 2 days

Answer

To solve the problem, we need to determine how many days it will take for 100 persons to complete 100 similar jobs, given that 2 persons can complete 2 jobs in 2 days.

### Step-by-Step Solution:

1. **Understanding the Given Information**:
- 2 persons can complete 2 jobs in 2 days.
- We need to find out how long it will take 100 persons to complete 100 jobs.

2. **Define Variables**:
- Let:
- \( M_1 = 2 \) (number of persons)
- \( N_1 = 2 \) (number of days)
- \( W_1 = 2 \) (number of jobs)
- \( M_2 = 100 \) (number of persons we want to analyze)
- \( N_2 = ? \) (number of days we want to find)
- \( W_2 = 100 \) (number of jobs)

3. **Using the Work Formula**:
- The formula relating these variables is:
\[ \frac{M_1 \times N_1}{W_1} = \frac{M_2 \times N_2}{W_2} \]
- Plugging in the known values:
\[ \frac{2 \times 2}{2} = \frac{100 \times N_2}{100} \]

4. **Simplifying the Equation**:
- The left side simplifies to:
\[ \frac{4}{2} = 2 \]
- The right side simplifies to:
\[ \frac{100 \times N_2}{100} = N_2 \]
- Thus, we have:
\[ 2 = N_2 \]

5. **Conclusion**:
- Therefore, it will take 100 persons **2 days** to complete 100 similar jobs.

### Final Answer:
**2 days**