When I was a kid I lived in Bloomington Minnesota. At the west side of Bloomington, near where Highway 494 and 100 meet was a small amusement park called Queen Anne's Kiddie Land. They had hand cars like you've shown. However, I remember them being faster than yours and the total ride was several hundred feet long. As a kid interested in railroads, I was fascinated by this ride!
HO, the Honerable Option!