Upon closer examination of the jQuery api documentation, you will discover that the hover function has the ability to handle two events simultaneously http://api.jquery.com/hover/
$("document").ready(function() {
$("#menuSolutions a").hover(function () {
$("#menuSolutions").addClass("menuHover");
$("#submenuSolutions").show("3000");
},function() {
$("#menuSolutions").removeClass("menuHover");
$("#submenuSolutions").hide("3000")});
});
It is important to note that this functionality is specifically designed for use with suckerfish menus.