Final answer:
To increase her distance from 5 miles to 7 miles, Elizabeth can use the concept of ratio. By setting up a proportion, we can find that it will take Elizabeth approximately 56 minutes to run 7 miles.
Step-by-step explanation:
To increase her distance from 5 miles to 7 miles, Elizabeth can use the concept of ratio. The ratio of the new distance to the old distance remains the same. Let's find the ratio:
- Old distance: 5 miles
- New distance: 7 miles
- Ratio of new distance to old distance: 7/5
Now, we can set up a proportion to find the new time it will take Elizabeth to run 7 miles:
40 minutes = x minutes
Using the proportion:
40/5 = x/7
Cross multiplying, we get:
5x = 280
Dividing by 5, we find:
x = 56
Therefore, it will take Elizabeth approximately 56 minutes to run 7 miles.