JQuery is Hiding Children menu on Hover :(

JQuery is Hiding Children menu on Hover :(

I got this here: http://www.rhodanide.com/education.html
When you hover over the Buy Rhoadanide or Research the sub menu comes up.

The only way I could get it to work was to make the OTHER menu hide if one is hovered over, but I cant hide them anymore

Is there a way to do this:
1. Hover Link
2. Show Div with more links below it
3. Keep the Divs visible if the Hover Link or the Div is hovered
4. Hide the Divs when both are not selected.

Thanks if anyone can help me