You know that, one arrived in three minutes bit. It probably means he'd been waiting 20 minutes for a booking. Then on current Uber form he probably recieved half of what was paid, which he'll have to take out the costs of the vehicle including fuel and sky high prices, vehicle rental or insurance plus wear and tear.
Using that service you are effectively employing someone on below minimum wage
If you are comfortable with that, that's ok
Uber started out by taking 20%, then 25%, it's now approaching 50% in the UK. In the US they are a couple of years ahead of the Uber curve, its starting to to hit 66%.
If you read all my posts on the subject over the years, this is exactly what I said would happen
The only way you get taxis turning up that quickly, is if you have lots of taxis sat around doing nothing
In the last two months leading up to Xmas, we've been signing up three to four Uber drivers a week (minimum, sometimes a good few more) who have never used our platform before, then there are the drivers who left to go to Uber and rejined us, that I rarely see because they don't come in for inductions, they just have their Driver App reinstated. Some weeks its easily 10 drivers a week just from Uber.