As a quick and nasty script something like this perhaps?

use strict;
use warnings;

my %names;
my $name;

local $/ = '--------------------------------------------';

while (<DATA>) {
    chomp;
    s/\s+/ /g;
    next if ! /\S/;

    if (! defined $name) {
        $name = $_;
        next;
    }

    my @words = split;
    $names{$name} += @words;
    $name = undef;
}

print "$_: $names{$_}\n" for sort keys %names;


__DATA__

--------------------------------------------

Joe Moglia, Ameritrade - CEO 3

--------------------------------------------
Thank you, Donna. Good morning, everybody and welcome to our last conf
+erence
call for Ameritrade as a stand-alone entity and for our very, very fir
+st
conference call for TD Ameritrade.
--------------------------------------------

Randy MacDonald, Ameritrade - CFO 13

--------------------------------------------
There's one other element that makes it easier which is that Waterhous
+e
outsources their clearing to ADP and we've had -- this is our eighth i
+ntegration
and we've gone through that with ADP a number of times now. So we have
+ a pretty
well worn cookbook on how to do that.
------------------------------------------------------------
[download]

Prints:

 Joe Moglia, Ameritrade - CEO 3 : 30
 Randy MacDonald, Ameritrade - CFO 13 : 51
[download]

You might want to tidy that up a little before you show it to your boss or teacher though! Altogether too much use of the default variable.