Question

The roller coaster at Treasure Island Amusement Park consists of 20 cars, each of which can carry up to three passengers. According to a time study, each run takes 2.5 minutes, and the time to unload and load riders is 3.5 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.

___passengers per hour

Answer 1

The theoretical capacity of the roller coaster system can be calculated by finding the number of runs per hour and multiplying it by the number of passengers per run. The roller coaster at Treasure Island Amusement Park has a theoretical capacity of 1440 passengers per hour.

Step-by-step explanation:

The theoretical capacity of the roller coaster system can be calculated by finding the number of runs per hour and multiplying it by the number of passengers per run. Let's break it down step-by-step:

1. First, we need to find the number of runs per hour. Since each run takes 2.5 minutes including loading and unloading time, there are 60 minutes in an hour, which means there are 60/2.5 = 24 runs per hour.
2. Next, we multiply the number of runs per hour by the number of cars in each run. Since there are 20 cars, the number of passengers per run is 20 * 3 = 60 passengers.
3. Finally, we multiply the number of runs per hour by the number of passengers per run to get the theoretical capacity of the system. In this case, it's 24 * 60 = 1440 passengers per hour.

Therefore, the theoretical capacity of the system is 1440 passengers per hour.