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Weekly Problem 51 - 2013

Stage: 2 and 3 Challenge Level: Challenge Level:2 Challenge Level:2

In the late 18th century, a decimal clock was proposed, in which there were 100 'minutes' in one 'hour' and 10 'hours' in one day.
Assuming that such a clock started from 0:00 at midnight, what time would it show when an ordinary clock showed 6 o'clock the following morning?
 
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.  



This problem is taken from the UKMT Mathematical Challenges.

View the previous week's solution