To calculate the total points earned by Charles de Vendeville, we will use the scoring system provided:
- Points for time underwater: 1 point for each second the swimmer stayed underwater.
- Points for distance traveled: 2 points for each meter traveled.
Using the provided data:
- Time underwater = 68.4 seconds
- Distance traveled = 60.2 meters
Now calculating the points:
-
Points from time: \[ \text{Points from time} = 68.4 , \text{seconds} \times 1 , \text{point/second} = 68.4 , \text{points} \]
-
Points from distance: \[ \text{Points from distance} = 60.2 , \text{meters} \times 2 , \text{points/meter} = 120.4 , \text{points} \]
Now, adding the points from time and distance together: \[ \text{Total points} = 68.4 , \text{points} + 120.4 , \text{points} = 188.8 , \text{points} \]
Thus, Charles de Vendeville earned a total of \( \boxed{188.8} \) points.