The car that I own can go 150 km with 25 litres of petrol. How far canit go with 30 litres of petrol?

Options

A. `"180 km"`
B. `"150 km"`
C. `"160 km"`
D. `"140 km"`

Explanation

To solve the problem step by step, we will determine how far the car can go with 30 litres of petrol based on the information given.

### Step 1: Determine the distance covered per litre of petrol.
We know that the car can go 150 km with 25 litres of petrol. To find out how far the car can go with 1 litre of petrol, we divide the total distance by the total litres of petrol.

\[ \text{Distance per litre} = \frac{\text{Total distance}}{\text{Total litres}} = \frac{150 \text{ km}}{25 \text{ litres}} \]

### Step 2: Calculate the distance per litre.
Now, we perform the division:

\[ \frac{150}{25} = 6 \text{ km/litre} \]

This means the car can travel 6 km for every litre of petrol.

### Step 3: Calculate the distance covered with 30 litres of petrol.
Now that we know the distance covered per litre, we can find out how far the car can go with 30 litres of petrol by multiplying the distance per litre by the number of litres.

\[ \text{Distance with 30 litres} = \text{Distance per litre} \times \text{Number of litres} = 6 \text{ km/litre} \times 30 \text{ litres} \]

### Step 4: Perform the multiplication.
Now we calculate:

\[ 6 \times 30 = 180 \text{ km} \]

### Conclusion:
The car can go 180 km with 30 litres of petrol.

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