While it may seem like electricity travels very fast, as in a wire, it actually moves very slowly. Depending on the assumptions you make, electrons moving through a wire (electricity) can be as slow as 6 feet per day!
The action of electricity over distance using wires is fast because the electrons
are already in the wire waiting to move and move through the entire circuit at
once. Much like a pipe totally filled up with marbles. When an extra marble is
placed in one end and marble almost instantaneously drops out the other no
matter how long the pipe.
The effect of electric current at a distance is almost instantaneous (it cannot be
instant) due to the domino effect of the electron charge carriers already filling
the entire length of the conductive circuit.