The concorde was not built primarily for its speed (that was a nice extra), but for fuel economy. Single-stream jet engines are better in terms of fuel economy when they fly faster. The drag rise counters this, but for the concorde they had the drag rise restriced to an acceptable minimum.
The invention of the double-stream jet engines made that need for speed obsolete.
Yes, the concorde existed, but was soon outdated because of the use of newer, better jet engines.