Does it take faster for sugar or color (tint) to dissolve in water and WHY?

Does diffusion between oil and water happen? Explain why.

that sugar dissolves faster in a warm liquid than in a cool

Explanation:

Molecular diffusion, often simply called diffusion, is the thermal motion of all (liquid or gas) particles at temperatures above absolute zero. The rate of this movement is a function of temperature, viscosity of the fluid and the size (mass) of the particles. Diffusion explains the net flux of molecules from a region of higher ... Diffusion of solvents,

it's filtration, but this is an assumption so my apologies if i got this