with your situation, I think the most important question is: do you have a graphics card?
If you do, I would say you probably have the advantage (though, features can always be turned down to make them run at comparable speeds). If you dont have a graphics card (built in, or maybe you think its so old that it's irrelevent), then a number of other factors make it hard to judge, but I would put you both in the same ballpark.
Of course, if you need to settle a dispute... the more details the better: RAM, version of windows, your graphics card, his graphics chip, his cpu, is your card AGP, PCI, integrated or PCI-E?
In general, laptops dont do as well as desktops if they are bought around the same time, as it is the same technology, just less of it to fit in smaller spaces and deal with heat/power issues.