Radial tires for automobiles having carbon fiber cord bead reinforcing layer

A high-speed radial tire for a passenger automobile, which has a bead portion including a bead filler disposed on a bead wire, a carcass layer folded around said bead wire from the inner side of the tire to the outer side of the tire so as to wrap around said bead filler, and a reinforcing layer disposed between the outer side of the folded-around carcass layer and the outer side of the tire, the reinforcing layer comprising carbon fiber cords in a coating rubber having a 100% modulus within the range of 30 to 70 kg/cm.sup.2 and having a number of 20 to 60 cords per 5 cm of the coating rubber, said carbon fiber cords in the reinforcing layer being crossed with cords in a carcass layer of the tire at an angle within the range of 20.degree. to 70.degree..