A car covers a distance of 44 km using `2(3/4)` 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 find out how far the car can travel using 1 litre of petrol, we can follow these steps:

### Step 1: Convert the petrol consumption into a single fraction
The car uses `2(3/4)` litres of petrol. We can convert this mixed number into an improper fraction.

\[ 2(3/4) = 2 + \frac{3}{4} = \frac{8}{4} + \frac{3}{4} = \frac{11}{4} \text{ litres} \]

### Step 2: Determine the distance covered per litre
The car covers a distance of 44 km using `\(\frac{11}{4}\)` litres of petrol. To find out how much distance the car covers per litre, we can set up a proportion:

\[ \text{Distance per litre} = \frac{\text{Total distance}}{\text{Total petrol used}} = \frac{44 \text{ km}}{\frac{11}{4} \text{ litres}} \]

### Step 3: Simplify the division
Dividing by a fraction is the same as multiplying by its reciprocal:

\[ \text{Distance per litre} = 44 \text{ km} \times \frac{4}{11} \]

### Step 4: Perform the multiplication
Now, we can calculate:

\[ \text{Distance per litre} = \frac{44 \times 4}{11} = \frac{176}{11} = 16 \text{ km} \]

### Conclusion
The car can cover **16 km** using 1 litre of petrol.

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