Find the average speed
Hike 52 miles in 3 days
Drive 69 kilometers in 3/4 hour
52/3 = ______ miles per day
69/(3/4) = ________ km per hour
To find the average speed, you need to divide the total distance traveled by the total time taken.
For the hike of 52 miles in 3 days:
Average speed = Total distance / Total time
Average speed = 52 miles / 3 days
To find the average speed for the drive of 69 kilometers in 3/4 hour:
Average speed = Total distance / Total time
Average speed = 69 kilometers / (3/4) hour
To simplify the calculation, you can convert 3/4 hour to 45 minutes, as there are 60 minutes in an hour.
Therefore,
3/4 hour = 45 minutes
Average speed = 69 kilometers / 45 minutes
Now, let's calculate the average speeds:
Hike:
Average speed = 52 miles / 3 days = 17.33 miles per day
Drive:
Average speed = 69 kilometers / 45 minutes = 1.53 kilometers per minute
So, the average speed for the hike is 17.33 miles per day, and the average speed for the drive is 1.53 kilometers per minute.
To find the average speed, you can use the formula:
Average Speed = Total Distance / Total Time
Let's calculate the average speed for each scenario:
Scenario 1: Hiking 52 miles in 3 days
Average Speed = 52 miles / 3 days
To convert the average speed into a more common unit, such as miles per hour, you would divide the distance by the time unit. Since there are 24 hours in a day, you can calculate the average speed like this:
Average Speed = (52 miles / 3 days) * (1 day / 24 hours)
Simplifying the equation:
Average Speed = (52 miles / 3) * (1 / 24) miles per hour
Average Speed ≈ 2.83 miles per hour
Therefore, the average speed of hiking for this scenario is approximately 2.83 miles per hour.
Scenario 2: Driving 69 kilometers in 3/4 hour
Average Speed = 69 kilometers / (3/4) hour
To calculate the average speed, we need to convert the time fraction to a decimal. The fraction 3/4 is equivalent to 0.75 hours, as one hour is divided into four quarters.
Average Speed = 69 kilometers / 0.75 hours
Average Speed ≈ 92 kilometers per hour
Hence, the average speed of driving for this scenario is approximately 92 kilometers per hour.