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Wiktionary
wheelbarrow race

n. A two-member team race in which one team member holds the legs of the other, as if the handles of a wheelbarrow. The team member playing the barrow runs on his hands.

Wikipedia
Wheelbarrow race

A wheelbarrow race is a competitive game in which teams of two players race with one teammate playing the role of the driver, and the other playing the role of the wheelbarrow. The driver holds on to the other player's ankles, while the other player walks with his hands. In some cultures it is commonly played at fairs and family events.