if you drive a distance of 400 miles in 8 hours,what is your average speed
The Correct Answer and Explanation is:
To find the average speed, we can use the formula: Average Speed=Total DistanceTotal Time\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}Average Speed=Total TimeTotal Distance
In this case, the total distance is 400 miles and the total time is 8 hours. Average Speed=400 miles8 hours=50 miles per hour (mph)\text{Average Speed} = \frac{400 \, \text{miles}}{8 \, \text{hours}} = 50 \, \text{miles per hour (mph)}Average Speed=8hours400miles=50miles per hour (mph)
Explanation:
- Formula for Average Speed: The formula used to calculate average speed is quite simple: it’s the total distance traveled divided by the total time taken. This gives us a consistent measure of how fast the object was moving over the entire journey, regardless of any variations in speed during the trip.
- Why We Use Average Speed: Average speed is particularly useful when there are fluctuations in speed over a period of time. For example, during the 8-hour drive, you may have been driving at varying speeds (sometimes faster, sometimes slower), but the average speed gives us a single number to summarize the journey.
- Units: The units of speed are typically distance per unit of time, so here, we have miles per hour (mph). If we were dealing with kilometers and hours, the unit would be kilometers per hour (km/h).
- Interpretation of the Result: In this case, your average speed is 50 miles per hour. This means that over the course of your trip, you were essentially traveling at a speed of 50 miles per hour for the entire 8-hour journey.
So, if you were to drive 400 miles in 8 hours, your average speed would be 50 mph.
