Hint to Puzzle #35: When the Hands of a Clock First Overlap
I think from the picture it's pretty obvious we are talking about a time just after five minutes past 1. We just need to work out exactly when that is.
We know the speeds of the hands of a clock in units like revolutions per hour, it's part of how we define a clock. The only difference between this 'angular velocity' and the linear speed you might be used to is every time you do a full rotation you start again.
A minute hand for example moves at 360° per hour, that is it's definition. Therefore if 't' is in hours the position of the minute hand, in degrees would be given by 360t.
© Nigel Coldwell 2004 - – The questions on this site may be reproduced without further permission, I do not claim copyright over them. The answers are mine and may not be reproduced without my expressed prior consent. Please inquire using the link at the top of the page. Secure version of this page.