A car covers a distance of 40 km using `2 2/4` litres of petrol. What distance can the car cover using 1 litre of petrol?

Options

A. 14 Km
B. 16 Km
C. 13 Km
D. 15 Km

Answer

To solve the problem step by step, we need to determine how far the car can travel using just 1 litre of petrol.

### Step 1: Convert the mixed fraction to an improper fraction
The petrol consumption is given as `2 2/4` litres. We first convert this mixed number into an improper fraction.

- **Calculation**:
\[ 2 \frac{2}{4} = 2 + \frac{2}{4} = \frac{8}{4} + \frac{2}{4} = \frac{10}{4} \]

### Step 2: Simplify the improper fraction
Next, we simplify the improper fraction if possible.

- **Calculation**:
\[ \frac{10}{4} = \frac{5}{2} \]

### Step 3: Determine the distance covered per litre
Now, we know that the car covers 40 km using `5/2` litres of petrol. We need to find out how much distance the car can cover with 1 litre of petrol.

- **Calculation**:
\[ \text{Distance per litre} = \frac{40 \text{ km}}{\frac{5}{2} \text{ litres}} = 40 \times \frac{2}{5} = \frac{80}{5} = 16 \text{ km} \]

### Conclusion
Thus, the car can cover **16 km** using 1 litre of petrol.

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