Math Problem of the Week

Submitted by david.thacker on Mon, 10/11/2021 - 07:43
Roller Coaster drawing

Rockin' Roller Coaster Problem

The duration of a ride on the Rockin’ Roller Coaster (RCC) is 1 minute 30 seconds. The RCC has only one train consisting of a series of linked cars, each of which carries a pair of passengers. It takes each group of passengers exactly 30 seconds to board the train and exactly 30 seconds to exit the train. In one hour, 480 people board the train, complete the ride and exit the train.

Assuming there is never a seat left vacant, how many linked cars are in the RCC’s train?

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