Case $5-$ Agan Interior Design

Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of $2\mathrm{.}3$ customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages $12$ minutes with each customer.

Question

If the consultant can reduce the average time spent per customer to $9$ minutes, what is the mean service rate? $($Round your answers to four decimal places. Report time in hours.$)$