Mechanical horses are at least within the limits of physical possibility. Teleportation would only be a useful solution if travelling at the speed of light was too slow.
However, because teleportation would work by creating an exact matter replica of the person at the other side, then destroying the existing "original", you would need to get the information for reconstructing the person from Point A to Point B. Here is where the problems would arise as this information cannot travel faster than light anyway, and you'd be just as well off travelling by light-speed carrier.
Of course, using the Douglas Adams theory, we could travel faster than light if we could somehow achieve travel by the supra-photon power of bad news.
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