A car consumes 8 litres of pertrol in covering a distance of 100 km. How many kilometers will it travel in 26 litres of petorl ?

Options

A. 567 km
B. 785 km
C. 325 km
D. 675 km

Answer

To solve the problem step by step, we will follow the given information about the car's petrol consumption and calculate the distance it can travel with 26 litres of petrol.

### Step 1: Understand the given information
The car consumes 8 litres of petrol to cover a distance of 100 km.

### Step 2: Calculate the distance traveled per litre of petrol
To find out how far the car travels on 1 litre of petrol, we can use the formula:

\[ \text{Distance per litre} = \frac{\text{Total distance}}{\text{Total litres of petrol}} = \frac{100 \text{ km}}{8 \text{ litres}} \]

### Step 3: Simplify the calculation
Now we simplify the fraction:

\[ \frac{100}{8} = 12.5 \text{ km/litre} \]

This means the car travels 12.5 km for every litre of petrol.

### Step 4: Calculate the distance for 26 litres of petrol
Now, we need to find out how far the car can travel with 26 litres of petrol. We can use the distance per litre we calculated:

\[ \text{Distance for 26 litres} = \text{Distance per litre} \times \text{Number of litres} = 12.5 \text{ km/litre} \times 26 \text{ litres} \]

### Step 5: Perform the multiplication
Now we multiply:

\[ 12.5 \times 26 = 325 \text{ km} \]

### Final Answer
The car will travel **325 kilometers** with 26 litres of petrol.

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