"X-ray results take 6 weeks"

I have a swollen elbow and around a month ago an out of hours gp examined me and advised an x-ray. X-ray was taken at Clifton hospital, St Annes and i was told to ring gp if i hadn't heard after 10 days. I waited 2 weeks and 'phoned gp and was told by reception that no results yet, so I waited until the end of the month, 24 days after x-ray, and was told no results yet but results normally take six weeks! I told the receptionist that if the elbow was broken it would have healed in six weeks! Is there a reason for this increasing inefficiency in the NHS?