Answer :
Final answer:
The average service time for a queue in a truck-loading operation with a rate of 13 trucks per hour is approximately 4.6 minutes, which is obtained by dividing 60 minutes by the service rate (60/13).the average service time per truck is approximately 4.6 minutes. So the correct answer is option a) 4.6 minutes.
Explanation:
To calculate the average service time for a queue in a truck-loading operation with a service rate of 13 trucks per hour, we need to convert the hourly rate into minutes since there are 60 minutes in an hour. Therefore, the average service time in minutes per truck is calculated by dividing 60 minutes by the service rate per hour.
The calculation is as follows:
- 60 minutes ÷ 13 trucks per hour = 4.61538461538 minutes per truck
When rounded to the nearest tenth, the average service time per truck is approximately 4.6 minutes. So the correct answer is option a) 4.6 minutes.