A take away burger restaurant has just opened a new branch operating nearby UCSD$$s campus downtown. The restaurant operates in line with the following flowchar

Over the first two weeks in operation, the restaurant has remained open from $9$am$-5$pmdaily, and has seen a relatively consistent average of $80$ customers per day. On average, the first queue has approximately $5$ people.

Since the menu and restaurant are relatively new, patrons will need to inquire about the various options available, and will typically spend approximately $5$ minutes placing an order.

Immediately after placing their order, customers will then join another queue to collect their food, which on average has $3$ people in line. The average service time to collect food

once someone arrives at the counter is $1\mathrm{.}5$ minutes.

Since the restaurant and staff are new to the business, some customers $($on average$15\%)$ will need request a change to their order. This can be done at the station, and typically takes $20$ minutes. There is no queue for this process. a$)$ How long does an average customer spend in the queue before they are able to order food?