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Night Watchmen

Age 11 to 14
ShortChallenge Level Yellow starYellow star
Secondary curriculum
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Answer: 12 noon (assuming 12 hour analogue watches. 24 hour watches won't agree again until midnight tomorrow, when they will both say midday)


Time Granny Grandpa Difference
  00:00     00:00     00:00     0
  01:00     01:30     00:30     1 
  02:00     03:00     01:00     2
  03:00     04:30     01:30     3  

+1 hour apart each hour
12 hours apart after 12 hours
They say the same time at 12 noon (6 o'clock)


This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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