A motorist on a road trip drives a car at different speeds over several legs of the trip. He drives for $15\mathrm{.}0$min at $100$km/$/$h ,9.0$\mathrm{<br>}$min at $80\mathrm{.}0$km/$/$h and $35\mathrm{.}0$mins at $55$km/$/$h and spends $40\mathrm{.}0$ min buying lunch and gas. 

 

a)$)$ what is the total distance traveled over the entire trip ($($in Km)?$)?$

b)$)$ what is the average speed for the entire trip ($($in km/$/$h)?$)?$