Have you tried ...
This may be too basic, so I apologize. Are you pressing the shutter button part way to facilitate focusing, before pressing all the way for the actual photo to be taken? Many digital camera users find the lag between the shutter press and the shutter opening, due to the camera needing to focus first.
On my digital, I find that if I press the shutter button half way and allow the camera to focus, the shutter speed is almost instantaneous, unless I'm shooting in a low light situation.
Again, may be too basic, since the Nikon D70 is a fine camera and not normally a beginners camera.
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