Hi there!
Righto. We know that there is a distance of 200km, you traveled at an average speed of 100 km/h, and you traveled [tex]\frac{3}{5}[/tex] of the way at 80 km/h. Let us put this into the equation [tex]\frac{80*3+2x}{5}=100[/tex]. You traveled at 80 km/h for [tex]\frac{3}{5}[/tex] of the way and that is therefore 80*3. First, we can start by multiply both sides by 5 to get [tex]80*3+2x=500[/tex]. After subtracting 240 from both sides(80*3=240), we get [tex]2x=260[/tex], which equals [tex]x=130[/tex]. Therefore, you traveled at 130 km/h for the each of the last [tex]\frac{2}{5}[/tex] of the trip.
-AwesomeRepublic :)
