Question 198
Arnaldo, Bráulio and Carlos will participate in a street race. After a few weeks, they were discussing their strategies. Arnaldo runs the first half of the total race distance at $9~\mathrm{km}/\mathrm{h}$ and the second half to $11~\mathrm{km}/\mathrm{h}$. Bráulio runs a third of the distance to $9~\mathrm{km}/\mathrm{h}$, the second third to $10~\mathrm{km}/\mathrm{h}$ and, finally, the last third to $11~\mathrm{km}/\mathrm{h}$. Carlos uses a different strategy from the first two, he runs half of his total running time at $9~\mathrm{km}/\mathrm{h}$ and the final half of the time at $11~\mathrm{km}/\mathrm{h}$. Determine the order between the total times of Arnaldo, Bráulio and Carlos of arrival at the end of the race.