Logic riddles with simple answers

What goes through towns up hills but never moves?

What has a tongue, cannot walk, but gets around a lot?

A woman with no driver license goes the wrong way on a one-way street and turns left at a corner with a no left turn sign. A policeman sees her but does nothing... Why?

What is it that has hands, yet is unable to clap?

The day before two days after the day before tomorrow is Saturday. What day is it today?

An infinite number of mathematicians are standing behind a bar. The first asks the barman for half a pint of beer, the second for a quarter pint, the third an eighth, and so on. How many pints of beer will the barman need to fulfill all mathematicians' wishes?

It is an insect, and the first part of its name is the name of another insect. What is it?

This guy runs fast but cannot stand. People ride this horse that never eats grass. What is it?

I follow you all day long, But when the night or rain comes, I am all gone.

What word becomes shorter when you add two letters to it?