Question

Two-types of student come to the career-services office for counseling. New students arrive at a rate of 8 students per hour and spend 6 minutes in registration and 13 minutes with an advisor. Returning students arrive at a rate of 12 students per hour and spend 5 minutes in registration and 10 minutes with an advisor. The staff consists of 1 registration employee and 1 advisor.

how many new students will be served each hour?

Answer 1

By dividing the total minutes in an hour by the total time taken per new student for registration and advising, it is determined that approximately 3 new students can be served each hour by the career-services office.

Step-by-step explanation:

To calculate the number of new students that can be served each hour by the career-services office, we need to consider both registration and advising times. New students take 6 minutes for registration and 13 minutes for advising, totaling 19 minutes per student. With 60 minutes in an hour, and assuming continuous and non-overlapping processing, the number of new students that can be served each hour is calculated by dividing 60 minutes by the total time spent per student (19 minutes).

Number of new students per hour = 60 minutes / 19 minutes = 3.16, which means only 3 new students can be fully served each hour, as we cannot have a fraction of a student.

In reality, the actual number might be lower due to transitions and possible delays. However, for the purposes of this problem, we will not consider these additional time factors.