Answer:
The distance she walks is 5 km
Step-by-step explanation:
Let
x -----> the distance in kilometers
y ----> the time in hours
we know that the speed is equal to divide the distance by the time
<em>Average speed of 5 km/h</em>
-----> equation A
<em>Average speed of 6 km/h</em>
convert 10 minutes to hours
----> equation B
Solve the system by graphing
The solution is the intersection point both graphs
The solution is the point (5,1)
see the attached figure
therefore
The distance she walks is 5 km
<u><em>Verify</em></u>
<em>Average speed of 5 km/h</em>
<em>Average speed of 6 km/h</em>
The difference is the time she will save
----> is correct