We use [tex]d=rt[/tex].  The distance covered is [tex]96[/tex] miles.  The rate is [tex]r+2r=3r[/tex], as both of the cyclists are covering part of this ground.  The time is [tex]4[/tex] hours.  So we have:
[tex]3r*4=96[/tex]
[tex]12r=96[/tex]
This is your equation, the solution to part (a).  
If you need to solve it, you can just divide by twelve, giving [tex]r=8[/tex].