Ah - that sounds like you're a rather new player, and it also sounds like you haven't done that much to your AspX (yet).
So, first of all, I can't keep from mentioning the basic rule:
Never fly without rebuy!
Withthis out of the way - I suppose you have Horizons, and therefore in theory access to the Engineers, but in practice you haven't done much engineering yet (for whatever reasons). In this case, let me suggest a first travel (I won't call it exploration) target and goal: fly out to the Pleiades nebula and collect some Meta Alloys to unlock Felicity Farseer.
Having access to Felicity alone will already make a huge difference to exploration. She can modify your FSD up to grade 5, thrusters up to grade 3 and power plant up to grade 1. If you want to partake of a low level (you can only do it once, and it'll only net you soemthing like 40 MCr.) exploit on the way, use one of the Road to Riches lists to scan worthwhile worlds on the way.
Here's a link to a different thread and post I've made earlier:
https://forums.frontier.co.uk/showt...a-new-player?p=6487224&viewfull=1#post6487224
Regarding your travel speed question:
1) It always takes longer than expected. You think you could do 1000 ly/hr, but then you see something shiny over here, an earth-like world over there and just a little bit further there's this ammonia world that looks really interesting...
2) the
current record for an Asp Explorer from Sol to Sagittarius A* (at the center of the Galaxy) stands at 3 hours, 32 minutes and 41 seconds. The overall record is just below 2 hours.
3) a somewhat more realistic time is 1 minute/jump including scooping for an experienced player, down to 50 seconds if they're in a hurry, up to 1:30 for a new player. So, at ~30 ly/jump and 45 jumps/hour, you can expect to make something like 1300 ly/hour in full throttle mode. If you have a tourist mission going out 20,000 ly (and back again, that's 40,000 ly), you'll need 40,000/1,300 = 31 hours. Or 1.5 hours of solid jump-scoop-honk per day for three weeks.
So, how did they do the above records?
a) they're good. Really good.
b) a fully upgraded racing 'conda will do something like 70 ly per jump without any help. Add FSD Synthesis boosts and Neutron boosts, and she'll jump over the bubble in one leap
c) Neutron boosts: plan your path along the Neutron Highway, and you'll fly. At the cost some little damage to your FSD at every jump. You can use the in-game neutron boost plot feature, or you can use e.g.
https://www.spansh.co.uk/plotter