A motorist on a road trip drives a car at different constant speeds over several legs of the trip. He drives for $20\mathrm{.}0$ min at $55\mathrm{.}0$ km$/$h$,13\mathrm{.}0$ min at $100\mathrm{.}0$ km$/$h$,$ and $45\mathrm{.}0$ min at $45\mathrm{.}0$ km$/$h and spends $60\mathrm{.}0$ min eating lunch and buying gas.