You don't want to do that. Public transport is notorious for being a money loser. Even large , "successful", private transport companies, such as Uber, is known to bleed money. When governments place public transit into the hands of private companies, generally service declines while price increases. Even then, sometimes the government will need to subsidize these private companies to keep transit running. It's best to keep transit in the hands of the public to ensure that there is accountability for the user instead of shareholders when transit is privatized.

Source. https://www.forbes.com/sites/briansolomon/2016/01/12/leaked-ubers-financials-show-huge-growth-even-bigger-losses/ https://metro.co.uk/2018/01/02/train-ticket-prices-soar-biggest-increase-five-years-7196318/