Why do certain types of dye spread faster and how do they compare with each other?

The food coloring you add to the water is pushed around by the water molecules. Since the molecules in warm water move around faster, the food coloring spreads out quicker in the warm water than in the cold water.

The colours spread faster due to warm water & lighter weight rather than in cold water and greater weight dyes

Explanation:

the certain types of dyes which consist of lighter molecular weight than other dyes spread an diffuse faster than other due to less weight and creating larger radius spot on the clothing dye.