Well there's certainly plenty of ways to approach this, and you haven't posted any code of anything that you've already tried, so the best I can do is point you in the right direction.
I'm assuming you're getting this date from the client (09:24:24 Mar 07, 2014 PST) as a string passed to your PHP script:
The first thing you need to do is parse the string so you can pull out the year, month, day, hour, minutes and seconds. So that you can create a DateTime
object in PHP with:
$date = new DateTime();
$date->setDate($year, $month, $day);
$date->setTime($hour, $minute, $second);
Then you can use add()
to add 3 days like so:
$date->add(new DateInterval("P3D"));
Now you have your date that you can pass back to your client (javascript) to display some sort of a countdown timer (search google for this, you'll get a plethora of results).
$echo $date->format("Y-m-d H:i:s");