Asked why they had quit their office jobs and set off on a biking journey around the world, the young American couple offered a simple explanation: They had grown tired of the meetings and teleconferences, of the time sheets and password changes.

“There’s magic out there, in this great big beautiful world,” wrote Jay Austin who, along with his partner, Lauren Geoghegan, gave his two weeks’ notice last year before shipping his bicycle to Africa.

They were often proved right.

On Day 319 of their journey, a Kazakh man stopped his truck, said hello and handed them ice cream bars. In a meadow where they had pitched their tent on Day 342, a family showed up with stringed instruments and treated them to an open-air concert. And on Day 359, two pigtailed girls met them at the top of a pass in Kyrgyzstan with a bouquet of flowers.

There were hardships, too, including punctured tires, snarling dogs, freezing hail and illness. But for Mr. Austin and Ms. Geoghegan, both 29, these were far outweighed by moments of human connection.