8.2. A snail is crawling at a constant speed around the clock face along the circumference counterclockwise. It started at 12:00 from the 12 o'clock mark and completed a full circle exactly at 14:00 on the same day. What time did the clock show when the snail met the minute hand during its movement? Justify your answer.
Solution: In two hours of movement, the snail described a full circle, the minute hand - two full circles. Together they described three full circles. Therefore, one circle the snail and the hand together pass in $120: 3=40$ minutes - and this is the time between their consecutive meetings. Therefore, the times when the minute hand met the snail are $12:40$ and $13:20$.

Answer: 12 hours 40 minutes and 13 hours 20 minutes.

| in progress | points |
| :--- | :--- |
| Correct and justified answer | 7 points |
| The problem is correctly reduced to an equation or system of equations, which is not solved or solved incorrectly | 5 points |
| Only one value, 12:40 or 13:20, is found and verified to be correct | 3 points |
| Correct answer without justification | 1 point |