How long will this take me?

I am growing a supernova strain marijuana , and i am growing it under a 600w HPS bulb, i am growing it aeroponically and i am using Avanced Nutrients brand nutrients. Id like to know how long they would take to grow until harvest time if i want the plant to be around 2 1/2ft and it is an Indica plant.

throw that thing into 12/12 right away and you can have it in 3 months