Problem $10-21($Algo$)$

A toll tunnel has decided to experiment with the use of a debit card for the collection of tolls. Initially, only one lane will be used. Cars are estimated to arrive at this experimental lane at the rate of $800$ per hour. It will take exactly $2\mathrm{.}5$ seconds to verify the debit card.

In how much time would you expect the customer to wait in line, pay with the debit card, and leave?

Note: Round your intermediate calculations to $3$ decimal places and final answer to $1$ decimal place.

How many cars would you expect to see in the system?

Note: Round your intermediate calculations to $3$ decimal places and final answer to $2$ decimal places.