A truck runs 492 km on 36 L of diesel. How many kilometres can it run on 33 L of diesel?

Options

A. `151` km
B. `251` km
C. `351` km
D. `451` km

Answer

To solve the problem of how many kilometers a truck can run on 33 liters of diesel, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the distance covered per liter of diesel**:
The truck runs 492 km on 36 liters of diesel. To find out how far it runs on 1 liter, we divide the total distance by the total liters:
\[ \text{Distance per liter} = \frac{492 \text{ km}}{36 \text{ L}} \]

2. **Calculate the distance per liter**:
Performing the division:
\[ \text{Distance per liter} = \frac{492}{36} = 13.6667 \text{ km/L} \text{ (approximately)} \]

3. **Calculate the distance for 33 liters**:
Now that we know the distance the truck can cover per liter, we can find out how far it can go with 33 liters by multiplying the distance per liter by the number of liters:
\[ \text{Distance for 33 liters} = 13.6667 \text{ km/L} \times 33 \text{ L} \]

4. **Perform the multiplication**:
\[ \text{Distance for 33 liters} = 13.6667 \times 33 \approx 451 \text{ km} \]

5. **Final answer**:
Therefore, the truck can run approximately **451 km** on 33 liters of diesel.