Problem $6-7($Algo$)$

The Avis Company is a car rental company and is located three miles from the Los Angeles airport $($LAX$).$ Avis is dispatching a bus from its offices to the airport every $6$ minutes. The average traveling time $($a round trip$)$ is $24$ minutes.

a$.$ How many Avis buses are traveling to and from the airport?

Note: Round your answer to the nearest whole number.

Number of Avis buses

b$.$ The branch manager wants to improve the service and suggests dispatching buses every $0\mathrm{.}5$ minute. She argues that this will reduce the average traveling time $($a round trip$)$ to $6\mathrm{.}5$ minutes. Is she correct? If your answer is negative, then what will the average traveling time be$?$

average traveling time is

minutes