11.1 The car was moving in one direction. During any 1-hour interval, it moved exactly 60 km. Could it have traveled more than 175 km in 2.5 hours? Justify your answer.
Solution. Let the car drive for half an hour, then stand still for half an hour, drive again for half an hour, stand still for half an hour, and finally drive for another half an hour. Then, for any time interval $(t ; t+1)$ (where $t$ is in hours), the car is in motion for exactly half of this time. If the car moves at a constant speed of 120 km/h, the condition of the problem is satisfied, and in total, over 2.5 hours, the car will travel 180 km.

Answer: It could.

| IS IN THE SOLUTION | SCORE |
| :--- | :---: |
| Correct and justified answer | 7 points |
| In a mathematically correct example, the car moves contrary to the laws of physics (for example, instantly moves a non-zero distance) | points not to be deducted |
| A correct example is constructed, but it is not justified that the car travels exactly 60 km in any hour | 5 points |
| Incorrect or unjustified answer | 0 points |