Answer:
0.578 hours
Step-by-step explanation:
If boxes of books arrive at a rate of 1 per 8 minutes, the number of boxes per hour is:
[tex]\mu =\frac{1}{8}*60=7.5/hour[/tex]
If the service rate is 1 box per 6.5 minutes, the number of boxes per hour is:
[tex]\mu =\frac{1}{6.5}*60=9.231/hour[/tex]
The average time from when a box of novels arrives until shredding is complete is:
[tex]t=\frac{1}{\mu-\lambda}=\frac{1}{9.231-7.5} \\t=0.578\ hours[/tex]
The average time in the system is 0.578 hours.
