I modified your HTML and CSS to get the desired result. Instead of using, cols-*I used spansandrow-fluid
HTML:
<div id="myModal" class="modal show" tabindex="-1" role="dialog" aria-hidden="true">
<div class="modal-dialog">
<div class="modal-content">
<div class="modal-body">
<div class="row-fluid">
<div class="span6">
<label class="control-label">Start Time:</label>
<div class="input-group bootstrap-timepicker timepicker">
<input type="text" class="form-control" data-provide="timepicker" data-bind="value:endTime" id="EndTime" />
<span class="input-group-addon"><i class="fa fa-clock-o"></i></span>
</div>
</div>
<div class="span6">
<label class="control-label">End Time:</label>
<div class="input-group bootstrap-timepicker timepicker">
<input type="text" class="form-control" data-provide="timepicker" data-bind="value:endTime" id="EndTime" />
<span class="input-group-addon"><i class="fa fa-clock-o"></i></span>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
CSS
.span6{
display: inline-block;
max-width: 40%;
margin-left: 6%;
}
CODEPEN DEMO
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