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determining the difference between two dateTimes

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In a scheduling program I need to check to see if there is a 
conflict between an existing appointment and one that is to be 
entered.  I figured that I would use dateTime::diff

the existing appointment is returned as $row['apptTime'], the 
appt being tested is $dateTM

$TAptEnd = $dateTM->add(new DateInterval('PT' . $duration .'M'));

$date = new DateTime($row['apptTime']);  //dateTime object
        of the beginning of the next appt
$diff = $date->diff($TAptEnd,true); //difference between
      the beginning of an existing appt and the end of
      the  testing.

if ($diff->format('%i') <0 ) return 1;

I am running into several problems that suggest that this is not 
the best way to go about this.

1: if the next appointment is the next day I am getting only the 
time difference between the appointments, eg 10 min, not the 
whole time.  I would expect the difference to be 24 * 60 + 10, 
not just the 10.

2: if I need to use the day + hours + minutes it gets really messy.

Suggestions please.

bill

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determining the difference between two dateTimes bill <nobody@spamcop.net> - 2011-06-06 10:47 -0400
  Re: determining the difference between two dateTimes The Natural Philosopher <tnp@invalid.invalid> - 2011-06-06 17:00 +0100
  Re: determining the difference between two dateTimes Jerry Stuckle <jstucklex@attglobal.net> - 2011-06-06 13:58 -0400
    Re: determining the difference between two dateTimes bill <nobody@spamcop.net> - 2011-06-07 06:45 -0400

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