They exist, and that's why UCI scan bikes at the race start line for electric motors, it's a serious enough problem that it has a name, "Motor doping." Famously

They exist, and that's why UCI scan bikes at the race start line for electric motors, it's a serious enough problem that it has a name, "Motor doping." Famously, Femke van den Driessche received a six-year ban after being caught motor-doping in cyclocross. https://www.bbc.com/sport/cycling/36142963 https://www.bbc.com/sport/cycling/36142963 If you don't want to cheat with a motor, bicycle stores sell all kinds of road bikes with pedal assist for non-competitive riding. Trek, for example, make several e-assist versions of their Domane road bikes: https://www.trekbikes.com/us/en_US/ebike_collection/ https://www.trekbikes.com/us/en_US/ebike_collection/