Quote - Only one raytrace bounce? Turn that slider all the way up. :-)

Why?  It's not like he has 50 mirrors in the scene. 
If all he is doing is using raytraced shadows
or AO one is plenty.  If he isn't doing any raytraced
functions he doesn't even need raytracing checked.

OTOH I would suggest he increase the pixel samples
in addition to the other suggestions.