Can table rows be made draggable?

I have two divs that are float:left:

<div id="inventor">
<table>
<tr id="1"><td>Alexander Graham Bell</td></tr>
<tr id="2"><td>Thomas Edison</td></tr>
<tr id="3"><td>Nicholas Tesla</td></tr>
</table>
</div>
<form>
    <div id="invention">
        <table>
        <tr><td><input name="answer1" />Tesla coil</td><td>Explanation</td></tr>
        <tr><td><input name="answer2" />Telephone</td><td>Explanation</td></tr>
        <tr><td><input name="answer3" />Phonograph</td><td>Explanation</td></tr>
        <tr><td><input name="answer4" />Light bulb</td><td>Explanation</td></tr>
        </table>
    </div>
</form>

and I want to be able to drag the inventor over to the invention.

$("#inventor tr").draggable({
    revert: "valid"
});

$("#invention tr").droppable({
    drop: function(event, ui) {
        var inventor = ui.draggable.text();
        $(this).find("input").val(inventor);
    }
});

I was able to get this working with list elements, but now that I'm adding an explanation to the invention table, I'd like to use a table on the left-hand side for styling purposes.