Two Brothers Decide to Run a Race

Two brothers decided to run a \(100\)-meter race. The older brother won by \(3\) meters. In other words, when the older brother reached the finish, the younger brother had run \(97\) meters. They decided to race again, this time with the older brother starting \(3\) meters behind the starting line. Assuming that both boys ran the second race at the same speed as before, who do you think won?