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Answer :
Final answer:
To find the average service time for one truck when the service rate is 13 trucks per hour, divide the total time of one hour (60 minutes) by the service rate. It is approximately 4.62 minutes per truck.
Explanation:
If the service rate for a queue in a truck-loading operation is 13 trucks per hour, we want to find the average service time for one truck in minutes.
To do this, we convert the service rate to the average service time using the formula:
Average Service Time = Total Time in the Period / Total number of Services in that Period.
Total time in one hour is 60 minutes, so if one truck is served in that time frame, the average service time would be:
Average Service Time = 60 minutes / 13 trucks
Average Service Time = 4.61538462 minutes per truck
We can round this to say that on average, it takes approximately 4.62 minutes to service one truck.
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