1. A snail is crawling around the clock face counterclockwise at a constant speed. It started at 12:00 from the 12 o'clock mark and completed a full circle exactly at 14:00. What time did the clock show when the snail met the minute hand during its movement?
Answer: 12:40 and 13:20. Solution. From the condition, it follows that the snail moves along the clock face at half the speed of the minute hand. Therefore, by the first meeting, it has crawled a third of the way around the clock, while the hand has moved two-thirds of the way. This means that the first meeting occurs at 12:40. Similarly, 40 minutes pass between the first and second meetings. This means that the second meeting happens at 13:20.