A car moves at a constant speed of 56.4 km per hour. How much distance does it cover in 3.5 hours ?

Answer

To solve the problem of how much distance a car covers at a constant speed of 56.4 km per hour in 3.5 hours, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Information**:
- Speed of the car = 56.4 km/h
- Time = 3.5 hours

2. **Use the Formula for Distance**:
- The formula to calculate distance is:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]

3. **Substitute the Values into the Formula**:
- Substitute the given values into the formula:
\[ \text{Distance} = 56.4 \, \text{km/h} \times 3.5 \, \text{h} \]

4. **Perform the Multiplication**:
- To simplify the multiplication, we can ignore the decimal for now and multiply:
\[ 564 \times 35 \]
- Calculate:
- \( 564 \times 5 = 2820 \)
- \( 564 \times 30 = 16920 \)
- Add these two results together:
\[ 2820 + 16920 = 19740 \]

5. **Adjust for the Decimal Point**:
- Since we initially ignored the decimal, we need to place it back. The original speed (56.4) has one decimal place, and the time (3.5) also has one decimal place. Therefore, the product will have a total of two decimal places.
- Thus, we convert 19740 to 197.40 km.

6. **Final Answer**:
- The distance covered by the car in 3.5 hours is:
\[ \text{Distance} = 97.40 \, \text{km} \]