We know that the average speed is defined as the distance traveled over time, that means that the average spees is:
[tex]v=\frac{d}{t}[/tex]Now, since the family drove 600 miles the first day this means that the second day they drove 400 miles and that they traveled that distance in 8 hours, this means that the average speed the second day is:
[tex]\begin{gathered} v=\frac{400}{8} \\ v=50 \end{gathered}[/tex]Therefore the speed was 50 mph the second day.