Given Data:
- The car travelled at a speed of 20 km/hr for 10 minutes.
- The car then travelled at a speed of 30 km/hr for 2 minutes.

Calculating the Distance Covered:
To calculate the total distance covered, we need to find the distance traveled during each segment of the journey and then add them together.

Distance covered in the first segment:
The car traveled at a speed of 20 km/hr for 10 minutes. To find the distance covered, we can use the formula:

Distance = Speed × Time

Given that the speed is 20 km/hr and the time is 10 minutes, we need to convert the time to hours:

10 minutes = 10/60 hours = 1/6 hours

So, the distance covered in the first segment is:

Distance = 20 km/hr × 1/6 hours = 20/6 km = 10/3 km

Distance covered in the second segment:
The car traveled at a speed of 30 km/hr for 2 minutes. Using the same formula as above:

2 minutes = 2/60 hours = 1/30 hours

So, the distance covered in the second segment is:

Distance = 30 km/hr × 1/30 hours = 1 km

Total Distance Covered:
To find the total distance covered, we add the distances covered in each segment:

Total Distance = Distance in first segment + Distance in second segment
Total Distance = 10/3 km + 1 km = 13/3 km

Therefore, the total distance covered by the car is 4 1/3 km or approximately 4.33 km.

Calculating the Average Speed:
The average speed is defined as the total distance traveled divided by the total time taken.

Total time taken = Time in first segment + Time in second segment
Total time taken = 10 minutes + 2 minutes = 12 minutes

Converting the total time taken to hours:

12 minutes = 12/60 hours = 1/5 hours

Average Speed = Total Distance / Total Time Taken
Average Speed = (13/3) km / (1/5) hours
Average Speed = (13/3) km × (5/1) hours
Average Speed = 65/3 km/hr

Therefore, the average speed of the car for the entire journey is approximately 21.67 km/hr.

15 km/hr