If 12 L of diesel is consumed by a car in covering a distance of 222 km, how many kilometres will it go in 22 L of diesel?

Answer

To solve the problem step by step, we will follow the method of unitary proportion.

### Step 1: Determine the distance covered per liter of diesel.
We know that the car covers 222 km using 12 liters of diesel. To find out how much distance the car covers in 1 liter, we divide the total distance by the total liters of diesel consumed.

\[ \text{Distance per liter} = \frac{\text{Total Distance}}{\text{Total Liters}} = \frac{222 \text{ km}}{12 \text{ L}} = 18.5 \text{ km/L} \]

### Step 2: Calculate the distance covered in 22 liters of diesel.
Now that we know the distance covered per liter, we can find out how far the car will go with 22 liters of diesel. We multiply the distance per liter by the number of liters (22 L).

\[ \text{Distance in 22 L} = \text{Distance per liter} \times \text{Number of Liters} = 18.5 \text{ km/L} \times 22 \text{ L} \]

### Step 3: Perform the multiplication.
Now we perform the multiplication:

\[ \text{Distance in 22 L} = 18.5 \times 22 = 407 \text{ km} \]

### Final Answer:
The car will cover a distance of **407 kilometers** using 22 liters of diesel.

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