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Answer:   4 people

Work Shown:

2/5 = 0.4

(10 people)/(1 hour) = (x number of people)/(0.4 of an hour)

10/1 = x/0.4

10*0.4 = 1*x

4 = x

x = 4

She can check out 4 people in 2/5 of an hour.

Note: 2/5 of an hour = (2/5)*60 = 24 minutes