Given:
Total distanced traveled is 200 miles.
speed is 60 mph, but as the congestion got bad, they had to slow to 10 mph.
Time = 6 hours.
Let, x be the travel time at 60 mph
The equation is,
[tex]\begin{gathered} 60x+10(6-x)=200 \\ 60x+60-10x=200 \\ 50x=200-60 \\ 50x=140 \\ x=\frac{140}{50} \\ x=2.8 \end{gathered}[/tex]It mean at the speed of 60 mph, the distance traveled is,
[tex]60x=60(2.8)=168\text{ miles}[/tex]So, the distance traveled for the speed of 10 mph is,
[tex]200-168=32\text{ miles.}[/tex]Answer: The family traveled 32 miles at reduced speed.
