A 1974 HONDA CB360 twin. Too slow for me, would barely do 65 mph.
Why didn't you fix that broken bike, Steve? My older 305 Super Hawk would do over 90 with two aboard, and 98 (indicated) in a "speed" tuck with one on board. It was in stock trim.
My first motorcycle was a large frame Schwinn with fat tires. I U bolted a plywood platform to the frame and bolted on a Briggs & Stratton Lawnmower engine from a Reel type lawn mower. Three or four horsepower rated, I think. Centrifugal belt clutch and a big pulley mounted to the rear spokes. Rode with one hand on the bars and one hand on the motor overriding the speed governor. Coaster pedal brake for stoping (slowing down actually), though you could lock the rear wheel on the gravel roads. Can't imagine why the parents were horrified.
My punishment was having to put the motor back into the lawn mower, and keeping the acre mowed short all summer. I learned to do a motor change in well under 15 minutes while the parents were away. Wasn't so bad. Parents paid for the gas, and I used Dad's tools...when I could find them.
That Schwinn may well have been faster than the Honda 50 I used later. But, not nearly as durable.
Cheers,