So your problem is that it's much harder for you to find part time work than full time work, at the same average hourly rate?
Hell yes this is a problem! Hours worked and hourly pay are very much correlated (it costs a lot to get someone to work that 80th or 120th hour in a week) and part time jobs often don't come with health benefits. Many workers have the opposite problem - the local retail store won't increase their hours and they never hire anyone full time ever because then they would have to provide health insurance.
Hi, I'm an entrepreneur looking for a startup idea.
In my experience, the reason most startups fail is because they never actually solve anyone's problem. So I'm cheating and starting out by identifying a specific person with a specific problem.
So I'm asking you, what's the most annoying part of your life/job? Also, how much would you pay for a solution?