We will determine the average speed traveled in the level road as follows:
First, we remember that speed multiplied by time will give us the distance.
We also have that [With last statement] the equation described in the problem is:
[tex](x+20)(5)+(x)(2)=373[/tex]Here, "x" is the average speed on the winding road, so we solve for it first:
[tex]\Rightarrow5x+100+2x=373\Rightarrow7x=273[/tex][tex]\Rightarrow x=39[/tex]Now, that we have the average speed for the winding road we calculate the average speed for the level road:
[tex]v_l=39+20\Rightarrow v_l=59[/tex]So, the average speed in the level road was 59 mph.