Answer: [tex]167\dfrac15\text{ miles}[/tex].
Step-by-step explanation:
Since
[tex]64\dfrac45\text{miles}=\dfrac{64\times5+4}{5}\text{ miles}\\\\=\dfrac{324}{5}\text{ miles}[/tex]
[tex]18\dfrac45\text{ miles}=\dfrac{18\times5+4}{5}\text{ miles}\\\\=\dfrac{94}{5}\text{ miles}[/tex]
Total distance traveled during the trip = [tex]\dfrac{324}{5}+\dfrac{94}{5}+\dfrac{324}{5}+\dfrac{94}{5}[/tex]
[tex]= \dfrac{836}{5}\\\\=167\dfrac15\text{ miles}[/tex]
Hence, the distance traveled during their trip was [tex]167\dfrac15\text{ miles}[/tex].