If the speed of a car is 50.4 km/h, find the distance covered in 3.6 hours.

Options

A. 181.44 km
B. 182.44 km
C. 181.49 km
D. 181.54 km

Answer

To find the distance covered by a car when its speed and time are given, we can use the formula:

**Distance = Speed × Time**

### Step-by-Step Solution:

1. **Identify the given values:**
- Speed of the car = 50.4 km/h
- Time = 3.6 hours

2. **Use the formula for distance:**
- Distance = Speed × Time
- Substitute the values into the formula:
\[ \text{Distance} = 50.4 \, \text{km/h} \times 3.6 \, \text{h} \]

3. **Multiply the numbers:**
- To make multiplication easier, we can first remove the decimal points:
- 50.4 can be written as \( \frac{504}{10} \) (since there is one digit after the decimal).
- 3.6 can be written as \( \frac{36}{10} \).
- Thus, we can rewrite the multiplication as:
\[ \text{Distance} = \frac{504}{10} \times \frac{36}{10} = \frac{504 \times 36}{100} \]

4. **Calculate \( 504 \times 36 \):**
- Break it down:
- \( 6 \times 504 = 3024 \)
- \( 30 \times 504 = 15120 \)
- Add these two results together:
\[ 3024 + 15120 = 18144 \]

5. **Divide by 100 to account for the decimal:**
- Now, we have:
\[ \text{Distance} = \frac{18144}{100} = 181.44 \, \text{km} \]

6. **Final Answer:**
- The distance covered by the car in 3.6 hours is **181.44 km**.