Cat
The cat provides zero transport capability for humans, though it can transport itself at speeds up to 30 miles per hour when motivated by the sound of a tin opener. Attempts to use cats for human transportation have been universally unsuccessful and are not recommended.
Bicycle
The bicycle enables human travel at average speeds of 12-15 miles per hour with no fuel costs beyond the rider's breakfast. It produces zero emissions and requires no parking fees. The bicycle represents one of the most energy-efficient transport methods ever devised by human engineering.
VERDICT
In matters of transportation, the bicycle achieves decisive victory. The cat's contribution to human mobility remains theoretical at best.