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Tick Tock

Age 11 to 14 Short
Challenge Level

Tick's watch runs 2 minutes per hour too slow.
Tock's watch runs 1 minute per hour too fast.

They set them to the same time at midday on Sunday.

The next time they met, one of the watches was one hour ahead of the other.
What was the earliest time this could have been?

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