What are the missing numbers in the pyramids?
One night two candles, one of which was 3 cm longer than the other
were lit. The longer one was lit at 5.30 pm and the shorter one at
7 pm. At 9.30 pm they were both the same length. The longer one,
burned out at 11.30 pm and the shorter one burned out at 11 pm. How
long was each candle originally?
Consider a watch face which has identical hands and identical marks
for the hours. It is opposite to a mirror. When is the time as read
direct and in the mirror exactly the same between 6 and 7?
This problem is taken from the UKMT Mathematical Challenges.