Making a profit has problems in the UK
If you make a profit then you are a private cab/taxi and need the correct insurance and need to pay tax etc. on the profit. You also need to know that the driver has valid insurance in case of an accident.
Another system would be a system that works from your mobile phone via GPS and the web. If you want a lift then just enter the details on your phone and when a suitable matching car approaches, it will receive an alarm to say that there is someone nearby who wants a lift. This would be ideal for smaller journeys.