Final answer:
The maximum on-duty hours for a bus driver in a 14-day cycle but cannot be answered without knowledge of specific regulations governing such work periods.
Step-by-step explanation:
The regulations concerning the working hours of bus drivers over a 14-day consecutive cycle. This falls under the subject of mathematics, specifically dealing with understanding and applying rules that govern work hours for certain professions. The answer to what is the greatest number of on-duty hours a bus driver can accumulate in a 14-day consecutive cycle cannot be provided without specific information about the laws or regulations that govern bus drivers' on-duty hours. This information usually varies by country or state and can be dependent on the transportation authority's regulations where the bus driver operates.