A donuts shop has a queue length, on average, of 6 customers and each customer has to wait 3 minutes to get their donuts from the time they enter the store. How many customers are being served every hour? Group of answer choices30 per hour120 per hour15 per hour90 per hour
Question
A donuts shop has a queue length, on average, of 6 customers and each customer has to wait 3 minutes to get their donuts from the time they enter the store. How many customers are being served every hour? Group of answer choices30 per hour120 per hour15 per hour90 per hour
Solution
To solve this problem, we need to understand that the rate at which customers are served is the inverse of the time each customer waits.
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First, we know that each customer waits 3 minutes. So, the rate at which customers are served is 1 customer per 3 minutes.
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To convert this rate to an hourly rate, we multiply by the number of minutes in an hour. There are 60 minutes in an hour, so the rate is 60/3 = 20 customers per hour.
However, the question states that there are on average 6 customers in the queue. This means that the shop is serving customers at a faster rate than 20 per hour.
- To find the actual rate, we multiply the queue length by the rate at which customers are served. So, the shop is serving 6 * 20 = 120 customers per hour.
So, the correct answer is 120 per hour.
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