If you exercise 3 hours every day, 5 times a week, the total weekly exercise time is \(3 \, \text{hours/day} \times 5 \, \text{days/week} = 15 \, \text{hours/week}\).
If you gain 3 hours of life for every hour of exercise, you can calculate the extra hours you'll live each week:
\[ \text{Extra hours/week} = 15 \, \text{hours/week} \times 3 \, \text{hours/hour} = 45 \, \text{hours/week} \]
Now, to find the total extra hours in a year, you can multiply the extra hours per week by the number of weeks in a year. Assuming there are 52 weeks in a year:
\[ \text{Extra hours/year} = 45 \, \text{hours/week} \times 52 \, \text{weeks/year} \]
\[ \text{Extra hours/year} = 2,340 \, \text{hours/year} \]
So, based on your exercise routine, you would potentially live an extra 2,340 hours in a year. Keep in mind that this is a simplified calculation for illustrative purposes, and real-life factors affecting life expectancy are more complex.