Select depart date, 5 days from today and return date, 6 days from today in Selenium
You don't need the Date type. You can do it all with a Calendar instance and a DateFormat instance:

    DateFormat dateFormat = new SimpleDateFormat("dd/mm/yyyy");
    Calendar now = Calendar.getInstance(); // gets current date
    now.add(Calendar.DATE, 5);             // add five days
    String firstDate = dateFormat.format(now.getTime());
    ...
    now.add(Calendar.DATE, 1);             // add one more day
    String secondDate = dateFormat.format(now.getTime());