A truck needs 54 litres of diesel for covering a distance of 297 km. The diesel required by the truck to cover a distance of 550 km is

Options

A. 100 litres
B. 50 litres
C. 25.16 litres
D. 25 litres

Answer

To solve the problem of how much diesel is required for the truck to cover a distance of 550 km, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the relationship**: The problem states that the amount of diesel required is directly proportional to the distance covered. This means if the distance increases, the amount of diesel required also increases.

2. **Set up the proportion**: We know that:
- 54 liters of diesel is needed for 297 km.
- Let \( x \) be the amount of diesel needed for 550 km.

We can set up the proportion as follows:
\[ \frac{54 \text{ liters}}{297 \text{ km}} = \frac{x \text{ liters}}{550 \text{ km}} \]

3. **Cross-multiply to solve for \( x \)**:
\[ 54 \times 550 = 297 \times x \]
This simplifies to:
\[ 297x = 29700 \]

4. **Divide both sides by 297**:
\[ x = \frac{29700}{297} \]

5. **Calculate \( x \)**:
\[ x = 100 \text{ liters} \]

### Final Answer:
The truck requires **100 liters** of diesel to cover a distance of 550 km.

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