If a car cover a distance of 189km in 4½ hours, what is it average speed? a) 58km/h b) 52km/h c) 48km/h d) 47¼km/h e) 42km/h
The Correct Answer and Explanation is:
To calculate the average speed, we use the formula: Average speed=Total distanceTotal time\text{Average speed} = \frac{\text{Total distance}}{\text{Total time}}Average speed=Total timeTotal distance
Step 1: Identify the values
- Total distance = 189 km
- Total time = 4½ hours = 4.5 hours
Step 2: Apply the formula
Average speed=189 km4.5 hours\text{Average speed} = \frac{189 \text{ km}}{4.5 \text{ hours}}Average speed=4.5 hours189 km Average speed=42 km/h\text{Average speed} = 42 \text{ km/h}Average speed=42 km/h
Step 3: Conclusion
The average speed of the car is 42 km/h, so the correct answer is e) 42 km/h.
Explanation:
Average speed is the total distance traveled divided by the total time taken. It gives a sense of how quickly the car was moving over the entire journey. Even if the speed varied during the trip, the average speed smooths out the fluctuations by considering the overall distance and time.
In this case, since the car traveled 189 kilometers in 4.5 hours, dividing 189 by 4.5 gives us 42 km/h, which is the average speed.
