A car driver, driving in a fog, passes a pedestrian who was walking at the rate of 2 km/hr in the same direction. The pedestrian could see the car for 6 minutes and it was visible to him upto a distance of 0.6 km. What was the speed of the car?

Options

A. 15 km/hr
B. 30 km/hr
C. 20 km/hr
D. 8 km/hr

Answer

To find the speed of the car, we can follow these steps:

### Step 1: Convert the time the pedestrian saw the car into hours
The pedestrian saw the car for 6 minutes. We need to convert this time into hours because the speed is usually expressed in km/hr.

\[ \text{Time in hours} = \frac{6 \text{ minutes}}{60} = 0.1 \text{ hours} \]

### Step 2: Determine the distance the pedestrian walked in that time
The pedestrian walks at a speed of 2 km/hr. We can calculate the distance the pedestrian covered in 0.1 hours.

\[ \text{Distance covered by pedestrian} = \text{Speed} \times \text{Time} = 2 \text{ km/hr} \times 0.1 \text{ hr} = 0.2 \text{ km} \]

### Step 3: Calculate the total distance the car traveled
The pedestrian could see the car up to a distance of 0.6 km. Since the pedestrian walked 0.2 km while seeing the car, the total distance the car traveled while the pedestrian could see it is:

\[ \text{Total distance traveled by car} = \text{Distance visible} + \text{Distance covered by pedestrian} = 0.6 \text{ km} + 0.2 \text{ km} = 0.8 \text{ km} \]

### Step 4: Calculate the speed of the car
Now we can find the speed of the car using the formula:

\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{0.8 \text{ km}}{0.1 \text{ hr}} = 8 \text{ km/hr} \]

### Final Answer
The speed of the car is **8 km/hr**.

---