To solve this problem, we first need to determine the car's fuel consumption rate and then use it to find out how far the car will go with 4 liters of petrol.
### Step 1: Calculate the consumption rate
The consumption rate of a car is the distance covered per liter of petrol.
Given:
- Petrol consumed = 65 liters
- Distance covered = 96 kilometers
The consumption rate is given by:
[tex]\[ \text{Consumption Rate} = \frac{\text{Distance Covered}}{\text{Petrol Consumed}} \][/tex]
### Calculation:
[tex]\[ \text{Consumption Rate} = \frac{96 \text{ km}}{65 \text{ liters}} \][/tex]
[tex]\[ \text{Consumption Rate} \approx 1.476923076923077 \text{ km/liter} \][/tex]
### Step 2: Calculate the distance that can be covered with 4 liters of petrol
Using the consumption rate, we can determine the distance the car will travel with 4 liters of petrol.
Given:
- Petrol available = 4 liters
The distance covered is calculated by:
[tex]\[ \text{Distance with available petrol} = \text{Consumption Rate} \times \text{Petrol Available} \][/tex]
### Calculation:
[tex]\[ \text{Distance with available petrol} = 1.476923076923077 \text{ km/liter} \times 4 \text{ liters} \][/tex]
[tex]\[ \text{Distance with available petrol} \approx 5.907692307692308 \text{ km} \][/tex]
### Final Answer:
The car will go approximately 5.91 kilometers using 4 liters of petrol.
