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Tick Tock

Age 11 to 14 Short
Challenge Level

Answer: 8 am on Monday

Tick's watch is 2 minutes slow per hour, Tock's is 1 minute fast per hour, so Tock's watch is faster than Tick's watch by 3 minutes per hour.

Correct time Tick's Watch Tock's Watch Difference
12:00 12:00 12:00 -
13:00 12:58 13:01 3 minutes
14:00 13:56 14:02 6 minutes

They get 3 minutes further apart after each 1 hour.

They will be 60 minutes further apart after 20 hours.

20 hours after midday on Sunday is 8 am on Monday.

 

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