From Longman Dictionary of Contemporary Englishthree-legged racethree-leg‧ged race /ˌθriː ˈleɡəd reɪs/ noun [countable] DSa race in which two people run together, with one person’s right leg tied to the other person’s left leg
Examples from the Corpus
three-legged race• Years later, they laughed to see the girls, Mona and Callie, in a three-legged race.• And so this grumbling three-legged race was run.• Something about the three-legged race, perhaps, or the egg-and-spoon race?• It was like putting on a costume for a play, or running in the three-legged race.• Together, with fear yanking the way forward, speculation and sentiment ran the three-legged race into the future. 