$5\mathrm{.}45$ Vehicles begin to arrive at an amusement park

entrance at $8$:$00$ A$.$M$.$ at a rate of $1000ve\frac{h}{h}.$ Some of

these vehicles have electronic identifiers that allow

them to enter the park immediately, beginning at $8$:$00$

A$.$M$.,$ without stopping $($they are billed remotely$).$ All

vehicles without such identifiers stop at a single

processing booth, but they wait in line until it opens at

$8$:$10$ A$.$M$.$ Once open, the operator processes vehicles

at $(t)=8+0\mathrm{.}5t[$where $(t)$ is in vehicles per minute

and $t$ is in minutes after $8$:$10$ A$.$M$.].$ An observer notes

that at $8$:$25$ there are exactly $20$ vehicles in the queue.

What percent of arriving vehicles have electronic

identifiers and what is the total delay $($from the $8$:$00$

A$.$M$.$ until the queue clears$)$ for those vehicles without

the electronic identifiers $($assume $\frac{D}{D}\frac{?}{1}$ queuing$)?$