Question

You drop by a Philz Coffee store on your way to work. At the time of your arrival, there are 6 customers waiting in line already which makes you the 7th customer in line. With the two baristas working in the shop serving 35 customers per hour, what is your expected wait time in minutes? (Enter your response rounded to two decimal places.)

Answer 1

The expected wait time at Philz Coffee for the 7th customer in line with two baristas serving 35 customers per hour is approximately 12 minutes.

Step-by-step explanation:

To calculate the expected wait time for service at Philz Coffee, we first need to determine the rate at which customers are served by the baristas. With two baristas serving 35 customers per hour, we can calculate the service rate as follows:

The combined service rate of the two baristas is 35 customers per hour. To find the service rate per minute, we divide 35 by 60 (the number of minutes in an hour), giving us approximately 0.5833 customers per minute. Since you are the 7th customer in line, and each customer is served at a rate of 0.5833 per minute, your expected wait time can be estimated by dividing your position in line (7) by the service rate per minute (0.5833).

Your expected wait time is then calculated as 7 ÷ 0.5833, which equals approximately 12 minutes. Therefore, you can expect to wait about 12 minutes before being served.