I've you've ever spent significant time in Europe, or more specifically, the Netherlands, you will see people of advanced age have no problem getting around on bikes and public transport. In fact, I can't help but smile every time I see someone who is clearly in their 80s/90s biking down the Amsterdam streets in fantastic health.
I feel that if people are used to moving around their lives, they can continue to do so even in old age, like taking stairs every day on a 4th story walk-up with bags of groceries and goods.
Anecdotally, I feel the rise of the automobile coincided with the fall of general health and mobility of senior citizens.