1. The Mad Hatter's clock is fast by 15 minutes per hour, while the March Hare's clock is slow by 10 minutes per hour. One day, they set their clocks by the Dormouse's clock (which is stopped and always shows 12:00) and agreed to meet at 5 o'clock in the evening for their traditional
five-o'clock tea. How long will the Mad Hatter wait for the March Hare if each arrives exactly at 5:00 PM by their own clocks?
# Answer: 2 hours.

Solution: The Mad Hatter's clock runs at a speed of 5/4 of normal, so it will take 4 hours of normal time to pass 5 hours. Similarly, the March Hare's clock runs at a speed of 5/6 of normal, so it will take 6 hours of normal time to pass 5 hours.