It is not only rude to whiz by other bikers and pedestrians, it is dangerous.
Get a mirror for you and your wife so you can know who is coming up behind you. As a hint, do not get a convex mirror. They are useless.
Get a bell so you can alert the people you will pass. A nice tinkle-tinkle bell is the best for use on trails. They sound nice and are the right volume for such a purpose.