Car 'A' travels at the speed of 65 km/hr and reaches its destination in 8 hours . Car B travels at the speed of 70 km/hr and reaches its destination in 4 hours . What is the ratio of the distance covered by car A and B respectively ?

Options

A. `11:7`
B. `7 :13`
C. `13:7`
D. `7 :11`

Explanation

To solve the problem step by step, we will calculate the distance covered by both cars and then find the ratio of those distances.

### Step 1: Calculate the distance covered by Car A
- **Formula**: Distance = Speed × Time
- **Given**: Speed of Car A = 65 km/hr, Time taken by Car A = 8 hours
- **Calculation**:
\[ \text{Distance covered by Car A} = 65 \, \text{km/hr} \times 8 \, \text{hours} = 520 \, \text{km} \]

### Step 2: Calculate the distance covered by Car B
- **Given**: Speed of Car B = 70 km/hr, Time taken by Car B = 4 hours
- **Calculation**:
\[ \text{Distance covered by Car B} = 70 \, \text{km/hr} \times 4 \, \text{hours} = 280 \, \text{km} \]

### Step 3: Find the ratio of the distances covered by Car A and Car B
- **Calculation**:
\[ \text{Ratio} = \frac{\text{Distance covered by Car A}}{\text{Distance covered by Car B}} = \frac{520 \, \text{km}}{280 \, \text{km}} \]
- **Simplifying the ratio**:
\[ \text{Ratio} = \frac{520}{280} = \frac{52}{28} = \frac{13}{7} \]

### Final Answer:
The ratio of the distance covered by Car A to Car B is **13:7**.

---