Mental states of athletes are important for winning in real competitive situations. Testosterone, cortisol, and the testosterone-cortisol ratio (T/CORT) are strongly related to mental states. Therefore, we hypothesized that they would modify the performance of athletes in a real competitive situation. In this study, we examined the relationship between the testosterone, cortisol, and T/CORT levels and the performance of two professional formula car drivers, who were members of a team participating in Super Formula (a kind of formula race series in Japan). We measured the salivary levels of testosterone and cortisol. Saliva samples were taken from the two drivers before they started the qualifying section, which consisted of two sessions, Q1 and Q2. The ranks of drivers in the qualifying section were determined from their best lap time. Twelve drivers passed Q1 and advanced to Q2. Because the driver with the fastest lap time in Q2 earns the “pole position” in the final session, drivers try to drive faster in Q2 than in Q1. We normalized the two drivers’ speed in Q1 and Q2 using the course record and the average of the other drivers’ best lap times to compare their speed between races. We found that an increase in the speed from Q1 to Q2 showed a negative correlation with the cortisol level and a positive correlation with T/CORT in one driver, while it showed a negative correlation with the testosterone level and T/CORT in the other, suggesting that hormonal effects on increasing their speed differs between drivers.