Answer:
To find the average velocity, we use the formula:
\[ \text{Average Velocity} = \frac{\text{Total Displacement}}{\text{Total Time}} \]
Since the car travels at a constant speed, the total time can be calculated by adding up the time taken for each segment.
Time taken for the first 50 km: \( \frac{50 \text{ km}}{30 \text{ km/hr}} = \frac{5}{3} \text{ hr} \)
Time taken for the next 10 km: \( \frac{10 \text{ km}}{40 \text{ km/hr}} = \frac{1}{4} \text{ hr} \)
Total time: \( \frac{5}{3} + \frac{1}{4} = \frac{19}{12} \text{ hr} \)
The total displacement is the total distance traveled, which is 60 km.
Average Velocity: \( \frac{60 \text{ km}}{\frac{19}{12} \text{ hr}} \approx 38.95 \text{ km/hr} \)
Rounding to the nearest option, the answer is C) 38 km/hr.
Step-by-step explanation: