Boxes of bad vampire novels arrive, on average, every 8 minutes at an industrial-strength shredder. The standard process to load, shred, and unload each shredded boxload takes 6.5 minutes. What is the average time from when a box of novels arrives until shredding is complete (in hours)?

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:

If the service rate is 1 box per 6.5 minutes, the number of boxes per hour is:

The average time from when a box of novels arrives until shredding is complete is:

The average time in the system is 0.578 hours.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x