Fast wifi is exactly as fast as a fast wifi of equivalent speed.
On serious note, my internet is 50/30 and I get close to that on mine at home. Though I don't trust the android speed test app, it sends too small of a data spurt and I suspect the values may be inflated, at least the upload because it's higher than 30 when I do a test.
I will need to do a test over my LAN using a better technique to see what I get. I know I get very good speeds. My AP is only 10/100 though so obviously wont get more than 100 but don't think N can even do that.
There's also AC which is even faster than N, quick google search tells me it can do gigabit with 4 antennas at the AP and 2 at the client. (various streams I imagine)
Wifi speed can be affected by many factors though, from environment to configuration.
A wifi network can also be seen as a hub. Only one client can talk at a time and only one direction. Though I'm not sure if this is true with multiple antenna/radio setups.
Not really.
You are limited by the performance of the device that has the fewest streams/antennas. So if you client has only 2 streams, that is as fast as it can go.
In 802.11ac parlance, that would be 867Mbps for Wave 1 and Wave 2 80MHz max channel width (which is pretty much all 11ac devices right now).
That would be the PHY rate, otherwise known as the signaling rate. Very close to the router in ideal situations you could MAYBE get around 75-80% of that as payload, IE actual transfer speed. So an 867Mbps client with a router that has at least 2 streams, could do around 650Mbps absolute max. The 75-80% theoretical max is due to losses with forward error correction and some other stuff. At least so far in 11ac, nothing hits that theoretical max.
I see some stuff starting to hit the theoretical max for 11n, but it could be that the newer stuff just doesn't have the processing power, or maybe just high enough quality radios/amps to see the theoretical max throughput.
The FASTEST I've seen do a two stream 11ac connection has been about 500Mbps, which is still pretty fast.
A good 3 stream connection MIGHT hit around 750Mbps. This is all very close to the client.
As to the OP, what it SOUNDS like is, where ever he is living, he has, probably, free internet provided by his apartment management and he connects over Wifi to whatever his apartment management is providing.
Which if that is the case, improving his wifi connection MIGHT improve his internet speed somewhat. However, looking at the numbers, its unlikely to. He is likely either limited by the speed of the connection that the apartment building has, or else is limited by bandwidth controls so one user doesn't hog the entire pipe.
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