In this work we study a problem which has been bothering both passengers and operators in the public transportation system long enough - the Bus Bunching Problem. It typically means two or more buses of the same service route getting too close together so that they "bunch" each other. It is undesired because it usually increases the waiting time of passengers before and after the arrival of the bunched buses. We analyze the cause of the bus bunching problem, and propose a new solution, namely the FlaxiFare Bus System, to reduce the problem. It is different from existing solution because it works on fixing the demand of passengers from the passenger's side, instead of solely on the supply side of bus operators and drivers.