During your first week of training for a marathon, you run a total of 10 miles. You increase the distance you run by twenty percent. How many miles do you run during your twelfth week of training?
Shannon you mentioned that the running distance increased by 20%, but you didn't mention by what time limit, eg. a day, a week etc.
It didn't say what the time limit was
about 74.3 miles.
To find out how many miles you run during your twelfth week of training, we need to calculate the distance increase each week leading up to the twelfth week.
Given that you run a total of 10 miles during your first week of training, and you increase the distance by twenty percent each week:
Step 1: Calculate the distance increase for each week.
20% of 10 miles = 0.2 * 10 miles = 2 miles
Step 2: Calculate the distance for each week.
Week 1: 10 miles
Week 2: 10 miles + 2 miles = 12 miles
Week 3: 12 miles + 2 miles = 14 miles
...
Week 12: 10 miles + (11 * 2 miles) = 10 miles + 22 miles = 32 miles
So, during your twelfth week of training, you will run a total of 32 miles.