Decimal Clock
A decimal clock is started at midnight. What time would it show at 6 o'clock in the morning?
Age
11 to 14
Challenge level
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 6am?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
Answer: 2:50
6 hours = $\frac14$ of 24 hours
$\frac14$ of 10 "hours" = 2.5 "hours"
2.5 "hours" = 2 "hours" and 50 "minutes"