How can I set rich:calendar to return the current time along with the date I selected ?

Issue

I'm creating a page where I use a <rich:calendar> component to select a date. What I need to do is when selecting a date it returns the date I selected along with the current time, but when I select it only returns 12:00. Here is my <rich:calendar> configuration:

<h:calendar
        popup="true"
        rendered="#{!aBean.aCalendar}"
     value="#{aBean.aDate}"
        id="c"
        datePattern="dd/MM/yyyy HH:mm" />

How can I accomplish that?