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Today Puzzle #742

Puzzle No. 742鈥� Tuesday 18 May 2020

Every weekday morning you'll find me in the kitchen listening to the Today programme from 6am to 9am. Occasionally I'll look up at the wall clock, but on my clock the minute hand and the hour hand are the same length and are indistinguishable .How many instances are there during the programme that the time on my clock is ambiguous?"

Today’s #PuzzleForToday has been set by Hugh Hunt, Reader in Engineering Dynamics and Vibration at Trinity College, Cambridge

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6

These are

06:37:46 confuses with 07:33:09

06:42:48 confuses with 08:33:34

07:43:13 confuses with 08:38:36

There are 132 times in each 12 hour period that can be confused if the

hands are the same length. The time interval between these times is

720/143 minutes which can be worked out with a bit of thought. Every 13th

instance is omitted because this is when the hands are overlapping and is

therefore not ambiguous. The six listed above are the only ones where the

time and it's double both fall between 6am and 9am

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