Answer:
1 mile
Step-by-step explanation:
Given: The jogging track at Francine’s school is [tex]\frac{3}{4}[/tex] [tex]\text{mile}[/tex] long. Yesterday Francine completed two laps on the track. If she ran [tex]\frac{1}{3}[/tex] 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 [tex]=\frac{3}{4}[/tex] [tex]\text{mile}[/tex]
Let the distance covered by running be [tex]=\text{x}[/tex]
Let the distance covered by walking be [tex]=\text{y}[/tex]
Total number of laps completed by Francine [tex]=2[/tex]
Total distance covered by Francine [tex]=\text{number of laps}\times\text{distance covered in one lap}[/tex]
[tex]2\times\frac{3}{4}[/tex]
[tex]\frac{3}{2}\text{mile}[/tex]
Now,
distance covered by running [tex]=\frac{1}{3}\text{of total distance}[/tex]
[tex]\text{x}=\frac{1}{3}\times\frac{3}{2}[/tex]
[tex]\text{x}=\frac{1}{2}[/tex] [tex]\text{mile}[/tex]
distance covered by walking [tex]\text{y}[/tex] [tex]=\text{total distance}-\text{distance covered by running}[/tex]
[tex]\frac{3}{2}-\text{x}[/tex]
[tex]\frac{3}{2}-\frac{1}{2}[/tex]
[tex]1[/tex] [tex]\text{mile}[/tex]
Hence, Francine walked for [tex]1[/tex] [tex]\text{mile}[/tex]
