$('#t1').timepicker({
timeFormat: 'hh:mm a',
interval: 30,
minTime: '8',
maxTime: '11:00 PM',
startTime: '08:00 AM',
dynamic: false,
dropdown: true,
scrollbar: true
});
$('#t1')
.timepicker('option', 'change', function(time) {
var later = new Date(time.getTime() + (2 * 60 * 60 * 1000));
$('#t2').timepicker('option', 'minTime', time);
$('#t2').timepicker('setTime', later);
});
$('#t2').timepicker({
timeFormat: 'hh:mm a',
interval: 30,
maxTime: '11:00 PM',
startTime: '08:00 AM',
dynamic: false,
dropdown: true,
scrollbar: true
});
<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/timepicker/1.3.5/jquery.timepicker.min.js"></script>
<link href="https://cdnjs.cloudflare.com/ajax/libs/timepicker/1.3.5/jquery.timepicker.min.css" rel="stylesheet" />
<input type="text" id="t1" />
<input type="text" id="t2" />