I will assume that you know that the "best glide for range" occurs at an angle of attack for best L/D ratio. It is the L/D ratio, and nothing else, that determined the glide angle and hence the glide range in still air.
For most training aircraft the L/D ratio will be a max at an AoA of around 4 degrees; it will depend on the wing profile but the best L/D will occur at a fixed AoA.
Now, consider two identical aircraft at different weights on a glide at an AoA of 4 degrees. Both aircraft will follow the same glide path as both aircraft will have the same L/D ratio.
The heaver aircraft will need to generate more lift than the lighter aircraft. If the AoA is fixed at 4 degrees, the only way to generate that extra lift is for the heavier aircraft to fly at a higher speed. We now have two aircraft on the same glide slope flying at two different speed. Which aircraft will reach the ground first?
The answer is, the aircraft with the greatest airspeed - the heavy aircraft. Given that they both start off at the same altitude, the heavy aircraft will have the higher rate of descent.
Just something to get you thinking.