A hospital in the Bay Area has collected some data to analyze its patient flow. Its average discharge rate is known to be $67\mathrm{.}5$ patients per day, and that the number of patients in the hospital system $($including all the multiple phases, disease states, surgery procedures, etc.$)$ is $102\mathrm{.}5$ on average. Apply the Little$$s Law to help determine what is the average time a patient spends at the hospital $($rounding for two digits after decimal$).$