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If the egress rate for a stadium is 5,500 fans per hour and it takes fans about one-third less time for fans to exit a game as it does for them to enter and find their seats, what is the ingress rate? (Round up to a whole number.)

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Answer:

1833 fans per hour

Step-by-step explanation:

Ingress is entering and Egress is exiting.

Since exiting time is 1/3rd less than entering time, we have 5500 people exiting, so ingessing would be 1/3rd that.

Thus,

Ingress Rate = 5500/3 = 1833.33

Rounding to whole number, we have 1833 fans per hour

Answer:

[tex]16,500\frac{fans}{hour}[/tex]

Step-by-step explanation:

Givens:

  • Egress rate is 5,500 fans per hour.
  • Egress rate is one-third than ingress rate. In other words, the ingress rate is 3 times faster than the egress rate. This interpretation is what solves this problem. It's the needed relation to answer the question.

Now, we have to express this in math, to calculate:

[tex]Egress=5,500\frac{fans}{hour}[/tex]

[tex]Egress=\frac{1}{3}Ingress[/tex]

Now, we replace and solve for Ingress:

[tex]5,500\frac{fans}{hour}=\frac{1}{3}Ingress\\Ingress=3(5,500\frac{fans}{hour})\\Ingress=16,500\frac{fans}{hour}[/tex]

Therefore, based on the givens, the ingress rate is [tex]16,500\frac{fans}{hour}[/tex]

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