Original Inuyasha took place in Feudal Japan, so that was between 1400-1600.
Given the white haired child is wearing Western style clothing, and the British/Japanese relations began in 1600, pretty safe to say at least 150-200 years will have passed for this show.
I think one of the most attractive things about a person, is their passion. The way their eyes light up, and they get really in to what drives them.
You just can't help but get charged up with them. Listening to their stories <3