A manufacturing cell within a value stream is structured with four processes and associated unit processing times, which are as follows:

Cutting: $11$ minutes

Drilling and insertion: $5$ minutes

Assembly: $8$ minutes

Finishing: $9$ minutes

B$.$ If the processing time of cutting is reduced from $11$ to $6$ minutes, what is the production rate now, and how long will it take to produce a batch of $55$ units? $($Round intermediate calculations and your final answer to $2$ decimal places.$)$

fill in the blank $2$

hours