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Mathematics of queuing problem
Solution: Set variables

X people come every minute.

Y people are checked at every ticket gate every minute.

When the station began to check in, Z people were waiting in line.

Eight ticket gates, which will take m minutes, have just been checked.

Equations:

3*40*X=40*Y-Z ( 1)

4*25*X=25*Y-Z (2)

8*M*X=M*Y-Z (3)

1 formula -2 formula: (3*40-4*25)X=(40-25)Y (4)

2 formula -3: (4*25-8*M)X=(25-M)Y (5)

There are four types and five types (two sides of four types are more than two sides of five types):

20 15

-solution M= 10.

100-8 * m 25m

A: It takes 10 minutes.