Madison plans to walk and run a total of 1 4/5 mi on a treadmill. She has already walked 2/5 mi and plans to run the rest of the distance. Madison wants to know the distance she needs to run.
Let r be the distance in miles that Madison needs to run.
Describe the situation with an equation.
What is the distance that Madison needs to run?
Madison needs to run ? mi
The equation that represents the situation is:
2/5 (distance walked) + r (distance to be run) = 1 4/5 (total distance)
Substitute the values into the equation:
2/5 + r = 9/5
Now, solve for r:
r = 9/5 - 2/5
r = 7/5
r = 1 2/5
Therefore, Madison needs to run 1 2/5 miles to reach her total distance of 1 4/5 miles.