if you want to get on the faster routes for Combat Elite the one you want to target is as high ranked as possible the higher the rank of your kills the faster you get Elite status this is why some get it sooner than others(not counting CZ), for Trade thats just grinding the best routes you can find with as much cargo as you can fit into whatever ship your using A-B(boring to do unless in the Rift) for Exploring fastest way i know from others( im not really into exploring yet) Neutron star farming is supposed to be the fastest route, but what you have to remember is this game is not about getting Elite status, the game is about doing whatever you like to do.
When i traded for elite i set myself daily goals and once reached i could either continue to trade or go do something else( not traded since i hit Elite)
When im actually trying to get Elite Combat faster i have a daily limit of 50 kills (bounty hunting only, i feel CZ farming to be kind of an exploit) before i go on to do something else
if you have one target of hitting Elite in anything it feels as if your not getting anywhere, set yourself daily targets and when you hit them you know your on your way.