A convenience store clerk can wait on 6 customers per minute. If customers arrive at an average rate of x people per minute, the time T spent in line is:

Question

A convenience store clerk can wait on 6 customers per minute.  If customers arrive at an average rate of x people per minute, the time T spent in line is:

T=1/6-x, where 0<x<6

Find the waiting time if an average of 4.75 people arrive each minute.

Henry · Answer

T = 1/(6-x) = 1/(6-4.75) = 0.8 min.=48s.