Answer: [tex]7.5\ km[/tex]
Step-by-step explanation:
Given
Girl has traveled 6 km from her house
She has covered [tex]\frac{4}{5}[/tex] of the distance
Suppose the total distance is x
[tex]\therefore 6=\dfrac{4x}{5}\\\\\Rightarrow x=\dfrac{30}{4}\\\\\Rightarrow x=\dfrac{15}{2}\ \text{km}\\\\\Rightarrow x=7.5\ \text{km}[/tex]