Final answer:
The student spent 0.5 hours, or 30 minutes, running to their friend's house by using the time formula which divides the distance by the speed.
Step-by-step explanation:
The student is asked to determine how long they spent running to a friend's house at a speed of 6 miles per hour for a distance of 3 miles. To calculate the time taken to cover this distance, the formula time = distance / speed is used. Applying this formula:
Time = 3 miles / 6 miles per hour = 0.5 hours.
Therefore, the student spent 0.5 hours, or 30 minutes, running to their friend's house.
To find out how long you spent running to your friend's house, we will use the formula for time, which is given by \[ \text{time} = \frac{\text{distance}}{\text{speed}} \]
Given that you ran a distance of 3 miles to your friend's house at a speed of 6 miles per hour, we can plug these values into the formula to find out the time spent running.
Let's calculate it: \[ \text{running time} = \frac{3 \text{ miles}}{6 \text{ miles per hour}} \] To perform this calculation, we divide the distance by the speed: \[ \text{running time} = 0.5 \text{ hours} \] Thus, you spent 0.5 hours running to your friend's house.
Since time can be expressed in minutes and you might be looking for an answer in minutes, let's convert this time to minutes.
There are 60 minutes in an hour, so: \[ 0.5 \text{ hours} \times 60 \text{ minutes per hour} = 30 \text{ minutes} \] So, you spent 30 minutes or 0.5 hours running to your friend's house. If the requirement is to round to the nearest tenth, the answer in hours would already be in the correct format since 0.5 is already a number rounded to the nearest tenth.