Answer:
1 mile
Step-by-step explanation:
Given: The jogging track at Francine’s school is
long. Yesterday Francine completed two laps on the track. If she ran
of the distance and walked the remainder of the way.
To Find: how far did she walk
Solution:
Length of jogging track at Francine’s school
![\text{mile}](https://tex.z-dn.net/?f=%5Ctext%7Bmile%7D)
Let the distance covered by running be ![=\text{x}](https://tex.z-dn.net/?f=%3D%5Ctext%7Bx%7D)
Let the distance covered by walking be ![=\text{y}](https://tex.z-dn.net/?f=%3D%5Ctext%7By%7D)
Total number of laps completed by Francine ![=2](https://tex.z-dn.net/?f=%3D2)
Total distance covered by Francine ![=\text{number of laps}\times\text{distance covered in one lap}](https://tex.z-dn.net/?f=%3D%5Ctext%7Bnumber%20of%20laps%7D%5Ctimes%5Ctext%7Bdistance%20covered%20in%20one%20lap%7D)
![2\times\frac{3}{4}](https://tex.z-dn.net/?f=2%5Ctimes%5Cfrac%7B3%7D%7B4%7D)
![\frac{3}{2}\text{mile}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%5Ctext%7Bmile%7D)
Now,
distance covered by running ![=\frac{1}{3}\text{of total distance}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B3%7D%5Ctext%7Bof%20total%20distance%7D)
![\text{x}=\frac{1}{3}\times\frac{3}{2}](https://tex.z-dn.net/?f=%5Ctext%7Bx%7D%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes%5Cfrac%7B3%7D%7B2%7D)
![\text{mile}](https://tex.z-dn.net/?f=%5Ctext%7Bmile%7D)
distance covered by walking
![=\text{total distance}-\text{distance covered by running}](https://tex.z-dn.net/?f=%3D%5Ctext%7Btotal%20distance%7D-%5Ctext%7Bdistance%20covered%20by%20running%7D)
![\frac{3}{2}-\text{x}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D-%5Ctext%7Bx%7D)
![\frac{3}{2}-\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D-%5Cfrac%7B1%7D%7B2%7D)
![\text{mile}](https://tex.z-dn.net/?f=%5Ctext%7Bmile%7D)
Hence, Francine walked for
![\text{mile}](https://tex.z-dn.net/?f=%5Ctext%7Bmile%7D)