Please use the code for the countdown, remove that part
  // Is the time up?
  if (remain <= 0) {
    remain = 0;
    // Stop the timer
    window.clearInterval(timerInterval);
    // Display a message (optional)
    alert(„The time is up.“);
    // Redirect the participant to the next page (optional)
    SoSciTools.submitPage();
  }
change timeLeftso that the questionnaire provides the time when the timer started, that is in PHP code
// Save the start time into the variable $timestart
if (!isset($timestart)) {
  $timestart = time();
  registerVariable($timestart);
}
this together with that
// JavaScript to display timer
$timeGone = time() - $timestart;
// Instead of JS01 the identifier of the text must be entered here
show('JS01', array(
  '%timeGone%' => $timeGone
));
And back in the JavaScript
var timeGone = %timeGone%;
...
var remain = timeGone + timePage;
You can rename "remain" throughout the script, but technically that should be it.