Consider a Chick fil A Drive$-$Thru restaurant at a busy time of the day $($like $12$:$00$ pm or $5$:$00$ pm$).$ A Chick fil A employee takes customer orders and payment while cars are still waiting in the line. Customer picks up the order from the kitchen window. While order taking and payment takes about $1$ min per customer, the kitchen on average takes $4$ min to get an order ready. Suppose on a typical busy time, when a new customer arrives, on average there are typically $8$ cars in the Drive$-$Thru line ahead either placing an order, waiting or just about to pick up their food from the kitchen window. What is the average flow time of a car just joining the Drive$-$Thru line?

$3$

a$.5$ min

b$.24$ min

c$.40$ min

d$.45$ min

e$.36$ min