Converting a figure into hours

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To convert 70.86 hours into a specific time starting from 12 PM Tuesday, it is calculated as three days and 22 hours, 51 minutes, and 36 seconds. Adding this duration results in 10:51:36 AM on Friday. The initial arithmetic contained an error, which was corrected during the discussion. The breakdown included converting the decimal hours into minutes and seconds accurately. The final conclusion confirms the correct time and day after the conversion.
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converting a figure into hours! simple really



I got a figure of 70.86 which is calculation to 24 hours so its 70 hours something.
So if it was 12 pm on the tuesday plus the amount above, what time and day would it be?
 
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How many hours is 12pm Wednesday?
 
24 divides into 70 two times with remainder 22: 70= 2(24)+ 22. 12 divides into 22 once with remainder 10: 22= 12+ 10. There are 60 minutes in an hour, so .86 hours is (.86)(60)= 51.6 minutes. There are 60 seconds in a minute so .6 minutes is (.6)(60)= 36 seconds.

70.86 hours is three days and 22 hours, 51 minutes, 36 seconds, so starting from noon, Tuesday, you add two days, to noon Thursday, then, since noon is already half a day, add one more day for the additional 12 hours, ending at 10:51:36 AM Friday.

(Silly arithmetic error corrected thanks to oay.)
 
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HallsofIvy said:
24 divides into 70 three times with remainder 22: 70= 3(24)+ 22. 12 divides into 22 once with remainder 10: 22= 12+ 10. There are 60 minutes in an hour, so .86 hours is (.86)(60)= 51.6 minutes. There are 60 seconds in a minute so .6 minutes is (.6)(60)= 36 seconds.

70.86 hours is three days and 22 hours, 51 minutes, 36 seconds, so starting from noon, Tuesday, you add three days, to noon Friday, then, since noon is already half a day, add one more day for the additional 12 hours, ending at 10:51:36 AM Saturday.
Not quite.

Your first sentence is arithmetically incorrect, so you are out by a day. The time is correct, but it is actually on the Friday.
 
Ouch! For some reason, on that whole problem, I was thinking "75" rather than "70". I will edit my first post. Thanks.
 
Hi HoI,

If you're going to edit your post to correct it, it may be wise to correct all of it! eg...
HallsofIvy said:
70.86 hours is three days and 22 hours, 51 minutes, 36 seconds
:wink: :smile:
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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