Hide menu during user inactivity with jQuery, setInterval performance
Hmmm... polling at regular intervals instead of using a handler... not good. It means that the interval between the event (mousemove, etc) and the call to fadeOut is variable. It also means that the script continues to use up a small amount of CPU while nothing is happening. And there's a tradeoff between these two things: If you increase the second argument to setInterval you get more variation in waiting time but less needless CPU usage.

Also, the logic feels slightly wrong: the element is hidden if it is near the left edge after 30 seconds; but if it isn't, and subsequently is moved left, fadeOut will not be called. Having said that, I'm not sure what the events are; if it's impossible to move it left without triggering one of the events, then ignore this paragraph. If this is an issue then I'm not sure exactly what behaviour you want, so I've ignored this issue in my answer - my code will behave as I just described.

Anyway, what you need is window.setTimeout; this function schedules another function to run after a given interval. So if you call window.setTimeout in the event handler, it will cause another function (hideIfNecessary, below) to run 30 seconds after an event is fired.

Of course, if another event is fired while the clock is ticking, you want to call hideIfNecessary 30 seconds after the second event, but cancel the one 30 seconds after the first event. To cancel events scheduled with window.setTimeout, use setTimeout's evil twin, clearTimeout.

So without further ado, here's my version of your code with setTimeout. (I haven't tested it though.)

var timeoutId = null;

function hideIfNecessary(){
    var posx=$("#page").offset();
    if (posx.left &lt; 2) {
        $('#menu').fadeOut(1000);
    }
}

$(document).bind('mousemove keydown scroll touchstart', function() {
    var posx=$("#page").offset();
    if($('#menu').is(':hidden') &amp;&amp; posx.left &lt; 2) {
        $('#menu').fadeIn(1000);
    }
    if (timeoutId !== null) window.clearTimeout(timeoutId);
    timeoutId = window.setTimeout(hideIfNecessary, 30000);
});