A private taxi charges a fare of 2600 for a journey of 200 km. How much would it travel for रु 2951?

Answer

To solve the problem, we will use the unitary method to find out how far the taxi can travel for a fare of ₹2951 based on the given fare of ₹2600 for 200 km.

### Step-by-Step Solution:

1. **Identify the given values**:
- Fare for 200 km = ₹2600
- Distance = 200 km

2. **Calculate the fare per kilometer**:
To find the fare for 1 km, we divide the total fare by the distance.
\[ \text{Fare per km} = \frac{2600 \text{ rupees}}{200 \text{ km}} = 13 \text{ rupees/km} \]

3. **Calculate the distance that can be traveled for ₹1**:
To find out how much distance can be traveled for ₹1, we take the reciprocal of the fare per km.
\[ \text{Distance for ₹1} = \frac{1 \text{ rupee}}{13 \text{ rupees/km}} = \frac{1}{13} \text{ km} \]

4. **Calculate the distance for ₹2951**:
Now, we multiply the distance that can be traveled for ₹1 by the total fare of ₹2951.
\[ \text{Distance for ₹2951} = \left(\frac{1}{13} \text{ km}\right) \times 2951 = \frac{2951}{13} \text{ km} \]

5. **Perform the division**:
Now we calculate \( \frac{2951}{13} \).
\[ \frac{2951}{13} = 227 \text{ km} \]

6. **Conclusion**:
Therefore, the taxi would travel **227 kilometers** for ₹2951.