The roller coaster at Treasure Island Amusement Park consists of $17$ cars, each of which can carry up to three passengers. According to a time study, each run takes $2\mathrm{.}0$ minutes, and the time to unload and load riders is $3\mathrm{.}0$ minutes. What is the the theoretical capacity of the system in number of passengers per hour? Round your answer down to the nearest whole number.