Try This code:
You need to add only the array timimgs then add to todays timings:
$total = array('1:00','2:20','4:00','5:10');
$sum = strtotime('00:00:00');
$sum2=0;
foreach ($total as $v){
$sum1=strtotime($v)-$sum;
$sum2 = $sum2+$sum1;
}
$sum3=$sum+$sum2;
echo date("H:i:s",$sum3);