Nou camp

Nou camp is the largest football stadium in Europe with a capacity of 99 354 places. It has built several dozen entrances. Half an hour before the start of the sold-out match there were already 30 906 fans in the stands. Through each of the 31 entrances, on average 96 persons per minute are added.
A) write the equation of the function that expresses the number of fans in the stands during the following minutes.
B) in what shortest time could the fans who were already in the stands have come to the stadium?
C) in what time will an empty stadium stand be completely filled with fans?
D) theoretically it is possible to evacuate the stadium in 5 min. During a trial evacuation all exits were opened, through each on average 258 persons per min. passed, but it was managed in 11 min. How many exits does the stadium have?

Final Answer:

a = 31*96x
b =  10.4 min
c =  33.4 min
d =  35

Step-by-step explanation:

$a=31\cdot 96x$

$b=\frac{30906}{31\cdot 96}=\frac{5151}{496}\text{min}=10.4\text{min}$

$c=\frac{99354}{31\cdot 96}=33.4\text{min}$

$d=\frac{99354}{11\cdot 258}=35$

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