Here is the skinny as I understand it... I may be wrong so please don't bash me.
The initial startup (or restart, if like me, you do not make RO water 24/7), where you divert water into the wasteline, is to purge any impurities and "clean" the RO membrane so the it performs at peak efficiency.
My system says to do this purge for 3 minutes. Your system may recommend different. In any event. the "waste" water does not necessarily have to go down the drain (or driveway in your case) Collect it into a container, if you can, and repurpose it to your garden, washing your car, ect ect... Waste water from the RO system is safe, non-toxic and can be used for countless other water use needs.. Heck, fill a bucket with it and mop the floor!! Don't just throw it down the drain!!