Private vs. Govern owned

I had some problems with my lungs a couple of days ago and a private clinc and 10 minutes later I was done with check-up, blood sample and a subscription on medication if needed in future. 

I went directly to get my medicine at a government own pharmacy, after waiting for 5 minutes to get to speak to someone and another 25 minutes to actually get the medicine. A total time of 30 minutes to collect medicine, something that in my world should have taken maximum 10 minutes.  

According to me this is why all for-profit enterprises should be managed like a private one with focus on time and bottom-line.