A truck consumes 28 litres of diesel for moving through a distance of 448 km. How much distance will it cover in 64 litres of diesel ?

Answer

To solve the problem step by step, we will use the concept of direct variation. The distance covered by the truck is directly proportional to the amount of diesel consumed.

### Step-by-Step Solution:

**Step 1: Determine the distance covered per liter of diesel.**
- We know that the truck consumes 28 liters of diesel to cover a distance of 448 km.
- To find out how much distance the truck covers per liter, we divide the total distance by the total liters of diesel consumed:

\[ \text{Distance per liter} = \frac{\text{Total Distance}}{\text{Total Liters}} = \frac{448 \text{ km}}{28 \text{ liters}} = 16 \text{ km/liter} \]

**Step 2: Calculate the distance covered for 64 liters of diesel.**
- Now that we know the truck covers 16 km for every liter of diesel, we can find out how far it will go with 64 liters:

\[ \text{Distance for 64 liters} = \text{Distance per liter} \times \text{Number of liters} = 16 \text{ km/liter} \times 64 \text{ liters} = 1024 \text{ km} \]

### Final Answer:
The truck will cover a distance of **1024 km** when it consumes **64 liters** of diesel.