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The Magic Cafe Forum Index » » Puzzle me this... » » Clock (0 Likes) Printer Friendly Version

Steve Martin
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Inner circle
1119 Posts

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How many minutes and seconds past one o'clock are the hands on an analogue clock EXACTLY aligned?
Any man who reads too much and uses his own brain too little falls into lazy habits of thinking.
Albert Einstein
Jonathan Townsend
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Eternal Order
Ossining, NY
26941 Posts

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Good one... have to watch the moving target to get that one.
...to all the coins I've dropped here
Mikey-Flys
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Regular user
Edmonton, Alberta
179 Posts

Profile of Mikey-Flys
Is this a clock with a second hand or just a minute/hour hand? I haven't worked out the second hand yet but I think the hour/minute hand should be aligned 5 minutes and 27.27 seconds after comparing starting positions and relative velocities.

Of course, that is for a 12 hours clock face. A clock with 24 hour positions would take some more figuring Smile
Steve Martin
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Well done, Mikey - that is correct.

I should have been a little more clear that I was ignoring the second hand - just considering the hour and minute hand.

For those who want to work it out, the easiest approach is to assume the hands start at one o'clock, then work out how many degrees of movement (of each hand) are represented by one minute. When the angles made by both hands are the same, you know the number of minutes that have passed. That number is 60/11 minutes (= 5 minutes and 27.27 seconds).
Any man who reads too much and uses his own brain too little falls into lazy habits of thinking.
Albert Einstein
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