Plot hole: In the last car-chasing scene, the timekeeper had switched his car to chase them, then how could Justin Timberlake get the timekeeper's salary (a day's time) from a car that the timekeeper picked up from the streets?
Suggested correction: I think it is the car of another time keeper. Hence, it may have a time transfer system.
Plot hole: Conceptually, there is no point in working unless you earn more time than it takes you to commute to work, work, and commute from work - literally living day by day. We are given no information on why Will's mother, on her commute home, has only 1.5 hours to live. Unless her work didn't pay her at all, why would she work that day?
Suggested correction: You described the plot perfectly, poor people have to work just to live day to day. Rachel, Will's mother, had to pay off a 2-day loan, which is why she was left her with only 90 minutes. Then the bus fare increased, which she wasn't expecting, from 1-hour to 2-hours, which explains why she had to walk home.
