If you run an average of 3 miles a day over 1 week and an average of 4 miles a day over the next 2 weeks, what is your average daily run distance over the 3-week period?
divide total miles by total days
To find the average daily run distance over the 3-week period, follow these steps:
Step 1: Calculate the total distance run over the first week.
Distance run per day over the first week = 3 miles/day
Number of days in the first week = 7 days
Total distance run over the first week = Distance run per day * Number of days = 3 miles/day * 7 days = 21 miles
Step 2: Calculate the total distance run over the next two weeks.
Distance run per day over the next two weeks = 4 miles/day
Number of days in the next two weeks = 14 days
Total distance run over the next two weeks = Distance run per day * Number of days = 4 miles/day * 14 days = 56 miles
Step 3: Calculate the total distance run over the 3-week period.
Total distance run over the 3-week period = Total distance run over the first week + Total distance run over the next two weeks = 21 miles + 56 miles = 77 miles
Step 4: Calculate the average daily run distance over the 3-week period.
Number of days in the 3-week period = 7 days (first week) + 14 days (next two weeks) = 21 days
Average daily run distance over the 3-week period = Total distance run over the 3-week period / Number of days in the 3-week period = 77 miles / 21 days ≈ 3.67 miles
Therefore, your average daily run distance over the 3-week period is approximately 3.67 miles.
To find the average daily run distance over the 3-week period, you need to calculate the total distance run over the 3 weeks and divide it by the number of days.
Let's break it down step by step:
1. Find the total distance run during the first week:
- You run an average of 3 miles per day.
- Since there are 7 days in a week, the total distance run during the first week is 3 miles/day * 7 days = 21 miles.
2. Find the total distance run during the next 2 weeks:
- You run an average of 4 miles per day.
- Since there are 14 days in 2 weeks, the total distance run during the next 2 weeks is 4 miles/day * 14 days = 56 miles.
3. Find the total distance run over the 3-week period:
- Add the total distance run during the first week and the total distance run during the next 2 weeks: 21 miles + 56 miles = 77 miles.
4. Find the average daily run distance over the 3-week period:
- Divide the total distance run over the 3 weeks by the number of days: 77 miles / (7 days + 14 days) = 77 miles / 21 days ≈ 3.67 miles per day.
Therefore, your average daily run distance over the 3-week period is approximately 3.67 miles.