There are dudes rich enough to buy private jets, sure. But there aren't many dudes rich enough to buy supersonic jets. One of the few with such insane means, the Sheik of Dubai, just dropped $80,000,000 on an Aerion Supersonic Business Jet.
Capable of traveling at Mach 1.5 and flying between Paris and New York in just 4 hours, this thing will fly you to wherever you want to go in the world faster than any commercial plane. Sure, you can't really open it up over land because of the sonic boom, you can still get it up to a respectable Mach 1.15 before you hit the ocean and can crank it to top speed. Well, you can't, this super rich guy can, but you know what I mean.