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**1. Homework Statement**

A clock runs irregularly but after 24 hours it has neither gained nor lost overall.

Find a way the clock can run irregularly such that there is no continuous 576 minutes during which the clock shows that 576 minutes have passed.

**2. Homework Equations**

24 hours = 1440 minutes and ##576=\frac{2}{5}1440##.

**3. The Attempt at a Solution**

The likely idea is to divide the 24 hours/1440 minutes in a number of intervals and have the clock run faster in odd intervals (say running one hour in 30 minutes), then slower in even intervals (say running one hour in 90 minutes) so that overall it still runs 1440 minutes. I cant get the numbers to work though for 576 minutes.