To determine the total time you'll be away from home, we need to calculate both the running time and the time spent at the swimming pool.

First, let's calculate the running time. You run 10 miles to the swimming pool and 10 miles back home, making it a total of 20 miles.

Given:

• Distance (one way) = 10 miles
• Total distance = 20 miles
• Average running speed = 8 mph

Using the formula for time: $\text{Time} = \frac{\text{Distance}}{\text{Speed}}$

Calculate the total running time: $\text{Running time} = \frac{20 \text{ miles}}{8 \text{ mph}} = 2.5 \text{ hours}$

Next, add the time spent at the swimming pool:

• Time at the pool = 40 minutes

Convert the time spent at the pool into hours: $40 \text{ minutes} = \frac{40}{60} \text{ hours} = \frac{2}{3} \text{ hours} \approx 0.67 \text{ hours}$

Finally, add the running time and the time spent at the pool to find the total time away from home: $\text{Total time away} = \text{Running time} + \text{Time at the pool}$ $\text{Total time away} = 2.5 \text{ hours} + 0.67 \text{ hours} = 3.17 \text{ hours}$

So, you will be away from home for approximately 3.17 hours.

If you have any questions or need further details, feel free to ask.

Here are some related questions to expand your understanding:

1. If you increased your running speed to 10 mph, how long would you be away from home?
2. How long would you be away if you stayed at the pool for 1 hour instead of 40 minutes?
3. What would be your total time away if you ran 5 miles to the pool and back instead of 10 miles?
4. If your running speed decreased to 6 mph, how much longer would the journey take?
5. How many miles could you run in 2 hours at an average speed of 8 mph?
6. If you ran 15 miles instead of 10 miles to the pool, how long would you be away?
7. How much time would you spend running if your swimming pool visit was reduced to 20 minutes?
8. What would be the total time away from home if you rested for 15 minutes before running back?

Tip: When converting units of time, it's often helpful to convert all measurements to the same unit (e.g., hours) to simplify calculations.