A car leaves Kota for Bundi every 12 minutes The distance between Kota and Bundi is `60Km`. The car travels at a speed of `60km//hr`. Find the number of cars that a man driving from Bundi Bundi to kota will meet in route if he starts from Bundi simultaneously with one of the cars leaving Kata. The car from Bundi travels at a speed of `60 Km//hr`.

Options

A. `9`
B. `10`
C. `11`
D. `12`

Explanation

To solve the problem, we need to determine how many cars a man driving from Bundi to Kota will meet while traveling towards Kota, given that cars leave Kota for Bundi every 12 minutes.

### Step-by-Step Solution:

1. **Identify the Speed and Distance**:
- The distance between Kota and Bundi is 60 km.
- Both cars (from Kota and Bundi) travel at a speed of 60 km/h.

2. **Calculate the Time Taken to Travel the Distance**:
- Time taken by a car to travel from Kota to Bundi (or vice versa) can be calculated using the formula:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{60 \text{ km}}{60 \text{ km/h}} = 1 \text{ hour} \]

3. **Determine the Frequency of Cars Leaving Kota**:
- A car leaves Kota every 12 minutes. To convert this into hours:
\[ 12 \text{ minutes} = \frac{12}{60} \text{ hours} = 0.2 \text{ hours} \]

4. **Calculate the Number of Cars Leaving Kota in One Hour**:
- In one hour, the number of cars that leave Kota can be calculated as:
\[ \text{Number of cars} = \frac{1 \text{ hour}}{0.2 \text{ hours}} = 5 \text{ cars} \]

5. **Calculate the Relative Velocity**:
- Since both cars are traveling towards each other, their relative velocity is:
\[ \text{Relative Velocity} = 60 \text{ km/h} + 60 \text{ km/h} = 120 \text{ km/h} \]

6. **Determine How Many Cars Will Be Encountered**:
- The time taken for the car from Bundi to meet the car from Kota is 1 hour. During this time, we need to find out how many cars leave Kota:
- Since a car leaves every 12 minutes, in 1 hour (60 minutes), the total number of cars that leave is:
\[ \text{Total cars in 1 hour} = \frac{60 \text{ minutes}}{12 \text{ minutes}} = 5 \text{ cars} \]

7. **Adjust for the Car Already on the Road**:
- Since the man driving from Bundi starts simultaneously with one of the cars leaving Kota, he will meet all the cars that left before him and the one that leaves at the same time.
- Therefore, he will meet:
\[ \text{Total cars met} = 5 - 1 = 4 \text{ cars} \]

### Final Answer:
The man driving from Bundi to Kota will meet **4 cars** on his route.