Converting a figure into hours

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Discussion Overview

The discussion centers around converting a figure of 70.86 hours into a specific time and day, starting from 12 PM on Tuesday. Participants explore the calculations involved in this conversion, including how to break down the hours into days, hours, minutes, and seconds.

Discussion Character

  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant calculates that 70.86 hours corresponds to three days and 22 hours, 51 minutes, and 36 seconds, concluding that starting from noon on Tuesday leads to 10:51:36 AM on Friday.
  • Another participant disputes the arithmetic of the first calculation, asserting that 70.86 hours actually leads to 10:51:36 AM on Saturday instead, citing an error in the initial division of hours into days.
  • A later reply acknowledges a misunderstanding of the original figure, indicating that the participant had mistakenly thought the figure was 75 instead of 70.86.
  • There is a suggestion that if corrections are to be made, all relevant parts of the calculations should be addressed to ensure accuracy.

Areas of Agreement / Disagreement

Participants disagree on the correct day resulting from the conversion of 70.86 hours, with one asserting it is Friday and another claiming it is Saturday. The discussion remains unresolved regarding the correct interpretation of the calculations.

Contextual Notes

There are unresolved mathematical steps regarding the division of hours into days and the subsequent calculations of minutes and seconds, which contribute to the disagreement on the final time and day.

mc2_phy
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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.)
 
Last edited by a moderator:
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:
 

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