A VeoRide bike near Town Wharf. Photo by: Bryan Bowman. MATTAPOISETT — With a mile of bike path already constructed and more on the way, Mattapoisett seems like the perfect town for a bikeshare program. But when bikeshare company Veoride tried to bring bikes to the town, they were gone just as quick as they came. “Let’s call it a failed business model,” said Friends of the Mattapoisett Bike Path President Bonnie DeSousa. Bikeshare programs, which allow riders to pick up and drop off bikes around the towns they’re in at an hourly rate, can usually be found in larger cities. But some smaller towns experimented with the service, to little avail.