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 $500$ per hour. It

will take exactly $6\mathrm{.}0$ seconds to verify the debit card.

a$.$ 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

Average total time

seconds

b$.$ 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.