A car covers the first 45 km of its journey in 55 minutes and the remaining 59 km in 65 minutes. Find the average speed of the car.

Correct option is C

Given:

1. Distance covered in the first part of the journey = 45 km

2. Time taken for the first part = 55 minutes = $$\frac{55}{60} \, \text{hours} = \frac{11}{12} \, \text{hours}$$​

3. Distance covered in the second part of the journey = $$59 \, \text{km}$$​ 

4. Time taken for the second part = 65 minutes = $$\frac{65}{60} \, \text{hours} = \frac{13}{12} \, \text{hours}$$​ 

Formula Used:

1. Total distance:

$$\text{Total distance} = 45 + 59 = 104 \, \text{km}$$​

2. Total time:

$$\text{Total time} = \frac{11}{12} + \frac{13}{12} = \frac{24}{12} = 2 \, \text{hours}$$​

3. Average speed:

$$\text{Average speed} = \frac{\text{Total distance}}{\text{Total time}}$$​

Solution:

1. Calculate the average speed:

$$\text{Average speed} = \frac{104}{2} = 52 \, \text{km/h}$$​

Final Answer:

The average speed of the car is 52 km/h.