Precalculus word problem
Suppose the average number of vehicles arriving at the main gate of an amusement park is equal to 10 per min, while the average number of vehicles admitted through the gate per minute is equal to x. Then the average waiting time in minutes for each vehicle at the gate is given by f(x) = (x-5)/(x^2 - 10x) where x > 10
a) Estimate the admittance rate x that results in an average wait of 15 seconds.
b) If one attendant can serve 5 vehicles per minute, how many attendants are needed to keep the average wait to 15 seconds or less?