What is the time 550 minutes after 22:15?












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i got this assignment where i need to answer what the time is 550 minutes after 22:15 but the minutes really confuses me.



I got a similar assignment where i had to calculate the time 10000 hours after 16:00 but here i just added the 16 hours to 10000 and looked at at the time 10016 hours after 00 using the residue class [10016]_24 which got me [8]_24 .



How can i do it similar on the first assignment?? We need to use residue classes.










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  • $begingroup$
    $550$ minutes is $9$ hours and $10$ minutes
    $endgroup$
    – Aniruddh Venkatesan
    Jan 31 at 21:42










  • $begingroup$
    Just $7:25$, which is $00.15+7.10.$
    $endgroup$
    – Michael Rozenberg
    Jan 31 at 21:42


















0












$begingroup$


i got this assignment where i need to answer what the time is 550 minutes after 22:15 but the minutes really confuses me.



I got a similar assignment where i had to calculate the time 10000 hours after 16:00 but here i just added the 16 hours to 10000 and looked at at the time 10016 hours after 00 using the residue class [10016]_24 which got me [8]_24 .



How can i do it similar on the first assignment?? We need to use residue classes.










share|cite|improve this question









$endgroup$












  • $begingroup$
    $550$ minutes is $9$ hours and $10$ minutes
    $endgroup$
    – Aniruddh Venkatesan
    Jan 31 at 21:42










  • $begingroup$
    Just $7:25$, which is $00.15+7.10.$
    $endgroup$
    – Michael Rozenberg
    Jan 31 at 21:42
















0












0








0





$begingroup$


i got this assignment where i need to answer what the time is 550 minutes after 22:15 but the minutes really confuses me.



I got a similar assignment where i had to calculate the time 10000 hours after 16:00 but here i just added the 16 hours to 10000 and looked at at the time 10016 hours after 00 using the residue class [10016]_24 which got me [8]_24 .



How can i do it similar on the first assignment?? We need to use residue classes.










share|cite|improve this question









$endgroup$




i got this assignment where i need to answer what the time is 550 minutes after 22:15 but the minutes really confuses me.



I got a similar assignment where i had to calculate the time 10000 hours after 16:00 but here i just added the 16 hours to 10000 and looked at at the time 10016 hours after 00 using the residue class [10016]_24 which got me [8]_24 .



How can i do it similar on the first assignment?? We need to use residue classes.







discrete-mathematics






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asked Jan 31 at 21:40









Lil coNeLil coNe

103




103












  • $begingroup$
    $550$ minutes is $9$ hours and $10$ minutes
    $endgroup$
    – Aniruddh Venkatesan
    Jan 31 at 21:42










  • $begingroup$
    Just $7:25$, which is $00.15+7.10.$
    $endgroup$
    – Michael Rozenberg
    Jan 31 at 21:42




















  • $begingroup$
    $550$ minutes is $9$ hours and $10$ minutes
    $endgroup$
    – Aniruddh Venkatesan
    Jan 31 at 21:42










  • $begingroup$
    Just $7:25$, which is $00.15+7.10.$
    $endgroup$
    – Michael Rozenberg
    Jan 31 at 21:42


















$begingroup$
$550$ minutes is $9$ hours and $10$ minutes
$endgroup$
– Aniruddh Venkatesan
Jan 31 at 21:42




$begingroup$
$550$ minutes is $9$ hours and $10$ minutes
$endgroup$
– Aniruddh Venkatesan
Jan 31 at 21:42












$begingroup$
Just $7:25$, which is $00.15+7.10.$
$endgroup$
– Michael Rozenberg
Jan 31 at 21:42






$begingroup$
Just $7:25$, which is $00.15+7.10.$
$endgroup$
– Michael Rozenberg
Jan 31 at 21:42












2 Answers
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$begingroup$

$$begin{align}
15, &+ 22(60) = rm start time (mins)\
+ 10, &+ 9(60) = 550 = rm increment\
hline
= 25, &+ color{#c00}{31}(60)\
equiv 25, &+ color{#c00}7(60)!pmod{color{#c00}{24}(60)}\[.1em]
{rm by}quad &color{#c00}{31}equivcolor{#c00}7quadpmod{color{#c00}{24}}
end{align}qquad$$






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    $begingroup$

    It's just $00:15$+$7:10=7:25.$






    share|cite|improve this answer









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      2 Answers
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      2 Answers
      2






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      1












      $begingroup$

      $$begin{align}
      15, &+ 22(60) = rm start time (mins)\
      + 10, &+ 9(60) = 550 = rm increment\
      hline
      = 25, &+ color{#c00}{31}(60)\
      equiv 25, &+ color{#c00}7(60)!pmod{color{#c00}{24}(60)}\[.1em]
      {rm by}quad &color{#c00}{31}equivcolor{#c00}7quadpmod{color{#c00}{24}}
      end{align}qquad$$






      share|cite|improve this answer









      $endgroup$


















        1












        $begingroup$

        $$begin{align}
        15, &+ 22(60) = rm start time (mins)\
        + 10, &+ 9(60) = 550 = rm increment\
        hline
        = 25, &+ color{#c00}{31}(60)\
        equiv 25, &+ color{#c00}7(60)!pmod{color{#c00}{24}(60)}\[.1em]
        {rm by}quad &color{#c00}{31}equivcolor{#c00}7quadpmod{color{#c00}{24}}
        end{align}qquad$$






        share|cite|improve this answer









        $endgroup$
















          1












          1








          1





          $begingroup$

          $$begin{align}
          15, &+ 22(60) = rm start time (mins)\
          + 10, &+ 9(60) = 550 = rm increment\
          hline
          = 25, &+ color{#c00}{31}(60)\
          equiv 25, &+ color{#c00}7(60)!pmod{color{#c00}{24}(60)}\[.1em]
          {rm by}quad &color{#c00}{31}equivcolor{#c00}7quadpmod{color{#c00}{24}}
          end{align}qquad$$






          share|cite|improve this answer









          $endgroup$



          $$begin{align}
          15, &+ 22(60) = rm start time (mins)\
          + 10, &+ 9(60) = 550 = rm increment\
          hline
          = 25, &+ color{#c00}{31}(60)\
          equiv 25, &+ color{#c00}7(60)!pmod{color{#c00}{24}(60)}\[.1em]
          {rm by}quad &color{#c00}{31}equivcolor{#c00}7quadpmod{color{#c00}{24}}
          end{align}qquad$$







          share|cite|improve this answer












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          share|cite|improve this answer










          answered Jan 31 at 22:45









          Bill DubuqueBill Dubuque

          214k29196655




          214k29196655























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              It's just $00:15$+$7:10=7:25.$






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                $begingroup$

                It's just $00:15$+$7:10=7:25.$






                share|cite|improve this answer









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                  $begingroup$

                  It's just $00:15$+$7:10=7:25.$






                  share|cite|improve this answer









                  $endgroup$



                  It's just $00:15$+$7:10=7:25.$







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                  share|cite|improve this answer










                  answered Jan 31 at 21:44









                  Michael RozenbergMichael Rozenberg

                  110k1896201




                  110k1896201






























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