If I understand you, you have two arrays with the same amount of elements, which should be compared based on your index, to see if the first has a value greater than the second.
Let's exemplify:
// Array com as horas iniciais
$arrayHoraInicial = array(
'09:32:00',
'11:20:10',
'13:06:55',
'19:10:10',
);
// Array com as horas finais
$arrayHoraFinal = array(
'09:50:00',
'12:10:00',
'12:25:15',
'21:11:08',
);
// Captura quantos elementos existem no array.
$quantidade = count($arrayHoraInicial);
// Realiza um loop for para percorrer os arrays.
for ($i = 0; $i < $quantidade; $i++) {
// Compara horas string
if($arrayHoraFinal[$i] < $arrayHoraInicial[$i]) {
echo "O índice $i apresenta um valor final maior que o inicial";
}
}
In the example above the printed result will be:
Index 2 presents a final value greater than the initial