A Problem Squared 067 = Line Times and Wide Words
Aug 28, 2023
Topics discussed include aligning of time, longest one-syllable word, music recommendations, calculating line minutes on a clock, ham sandwich theorem, crossing points of clock hands, words with 'ding' and 'time', progress update and goal setting, starting from the beginning.
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Time Fun Jumper Mystery
- Bec Hill found a knitted jumper with "Time Fun" on it and later saw a children's TV presenter wearing the same one.
- She seeks information about the jumper's origins for a YouTube video.
Clock Hand Alignment
- The hands of a clock align 11 times in 12 hours, not 12, due to the relative movement of the hands.
- This is similar to the fence post problem where the start and end point are the same.
Regular Alignment Intervals
- Clock hands align at regular intervals because their speeds are constant.
- These intervals are slightly over an hour, resulting in 11 alignments in 12 hours.