My best example:
Leaving for Lake Tahoe (3½ hours with no traffic)five miles down the road I hear on the radio that my preferred route is clogged and will add 2 hours. I open up Waze on my phone and it directs me to a parallel route 40 miles away, but really only 20 extra miles.
Approaching Sacramento, I hear on the radio of a major accident on the transition freeway. Waze has already calculated an alternative that involves getting off the freeway and taking surface streets. I can tell I easily saved 20 minutes.
Made it to my destination with only an extra 40 minutes of travel, instead of the 2½ hours if I had not paid attention to the radio and app.