Question

During the registration at the State University every semester, students in the college of business must have their courses approved by the college adviser. It takes the adviser an average of 2 minutes to approve each schedule, and students arrive at the adviser’s office at the rate of 28 per hour.17.How long does a student spend waiting on average for the adviser?A) 13 minutesB) 14 minutesC) 28 minutesD) 30 minutesE) none of the above

Answer 1

Answer:

Correct answer is option C i.e 28 minutes

Step-by-step explanation:

Number of students arriving at adviser's office per hour = x = 28

Number of students get approved = $\frac{1}{2min}$  = 30/hour

    ∴ y = 30

Number of students on average on waiting =Lq

Lq = $\frac{x^{2} }{y(y-x)}$

=  $\frac{28^{2} }{30(30-28)}$

= 13.07

Average time student has to spend in

Waiting = Wq = $\frac{x}{y(y-x)}$

= $\frac{28}{30(30-28)}$

= 0.466 hours

= 28 minutes