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Answers to the preliminary contest of the 16th Beijing Senior High School Mathematics Knowledge Application Competition
The answer to the third question (1) Main factors:

Surrounding environment of the above-ground road surface: determine the number of people who need to swipe their cards to enter the station.

The more people flow, the more people will enter the station.

Passenger quality: determine the speed of card swiping.

The higher the education level, the faster the speed when entering the station.

Subway station management: determine the number of people who can swipe their cards at the same time.

The more credit card readers there are, the more people will swipe their cards at the same time.

(2) Mathematical description of the word "reasonable": If there are n people who want to enter the station, it takes an average of t seconds for these people to swipe their cards in the station, then how many credit card machines do you need to set up to let all these people enter the station in a limited time t?

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