Unreliable clock

Logic Level 3

A clock has just gone unreliable. It gains 15 minutes every hour and thus shown wrong time. At present it is showing 3:00 am. But it was working perfect when you set it at midnight.

The clock stopped four hours ago. Can you tell what the correct time now is?

Follow 12 hr system, not 24 hr for answer and remove the : and enter HHMM part


The answer is 624.

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1 solution

Prince Loomba
Oct 11, 2016

According to the question, the clock is gaining 15 minutes every hour and thus for every real hour, the clock will show 75 minutes.

The present time is 3:00 am and thus 180 minutes have passed since midnight. However, in real this counts to just 144 minutes (180/75 * 60) so the clock shows 2:24 am.

Since the clock stopped 240 minutes ago (i.e. 4 hours), the correct time must be 6:24 am.

Yes , I can't enter on slack on my given email address because I had to be so to say "prevented" publishing a correct and clear problem on Brilliant .I suppose calvin tried to "exile" me from brilliant definitely but on the moment such a thing didn't work as I made another account and I'm still waiting a reply from Sue Khim relating to this situation which , unfortunately , from some reason she doesn't seem though to be willing to give anyway.

That was the initial message I wrote you. But I realized though I can't post messages so I made some changes to be able. Actually now I know why , because she agrees with Calvin and lack any sort of reasoning and sense of things seemingly. They seem to have banned me such that I can't use any button for posting messages or such stuff so unfortunately I suppose I am going to be so to say banned after all but don't worry Prince , such injustice and stupidity will get some day a reply from me I suppose though nonsense doesn't deserve it. We can still talk though on email if you want , I'm sorry I can't be on slack any longer haha. It was fun speaking with you Prince and others so please say goodbye from me to the community so to say if you want to , it seems here you can't publish problems freely or the free speech isn't at all important for such idiots and superficiial person like calvin so to say but anyway.

A A - 4 years, 8 months ago

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Give your email ID and make new if you can with a different name for slack..

Prince Loomba - 4 years, 8 months ago

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Haha , they got better at banning me and I got better at escaping their bans but nonetheless I see there's no point for me to stay on a site where ridiculous persons are leading it so I will not as i don't argue with incompetent and irrational persons and I'll not give my email here for privacy stuff but I think I know your mail as I received some email from your from slack in which i got the email you had there so maybe I'll try giving you a message later and btw I also sent a final goodbye message to SueKhim on her message board if you want to see it anyway.

A A - 4 years, 8 months ago

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@A A princeloomba6@gmail.com

Prince Loomba - 4 years, 8 months ago

You can calculate the passed time in some other way but first we need to point out that the problem works on the assumption that the increase in time and error of the clock is done for in a continous way for every conceivable and finite unit of time and that the clock doesn't gain magically 15 minutes at every hour and measures until a 1 hour passes right. Because we admit that at any unit of time there is some increase we can calculate that for any minute since the clock gains 15 minutes per 60 minutes or 1 hour the shows with 15/60=0,25 more minutes than the ones which actually passed which means that if the clock shows some accumulated number of minutes A , A = m+m*0,25. This can be read as saying that for m minutes passed for each minute the clock adds a quarter of a minute. In the particular case of 3 hours which are 180 minutes we have that 180= m(1+0,25) therefore that the number m = 180/1,25 which is 144 minutes from which we get the result anyway.

A A - 4 years, 8 months ago

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