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.