The key is the relative difference in retention factors (RF) of the two components. To achieve better separation you want one component to travel faster relative to the other.
Let's look at an example, a mixture of two compounds A (less polar) and B (more polar), and their RFs in three solvent systems of decreasing polarity, X, Y and Z. Admittedly I have invented these data to illustrate a point, but I think they're quite typical in my experience.
In solvent X, A has RF 0.80 and B 0.50
In solvent Y, A has RF 0.25 and B 0.10
In solvent Z, A has RF 0.10 and B 0.02
When considering which solvent system will be most effective it is quite common for students to initially choose solvent X because the RF difference is the largest (0.30 compared to 0.15 or 0.08). However, if you consider the the mobility of A relative to B (ie the ratio of RFs), you get a different story. In solvent X, the relative mobility of A (compared to B) is 1.6, in solvent Y is 2.5 and in solvent Z is 5. So, although the absolute mobility in solvent system Z is the least, the mobility of A relative to B is greatest in solvent system Z.