Question 1062595
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<pre>
Let {{{T[g]}}} be the reading displayed by the gaining clock and {{{T}}} be the reading of the correct clock.


Since {{{T[g]}}} is 10 minutes more than 24 hours = 60*24 minutes, we have

{{{T[g]}}} = 1450 when {{{T}}} = 1440.


So, the ratio {{{T[g]/T}}} = {{{1450/1440}}} = {{{145/144}}}.


The difference between <U>the readings of the gaining clock</U> at 10:00 am "today" and 3:00 pm "tomorrow" {{{DELTA}}}{{{T[g]}}} is 

24 + 5 = 29 hour marks, or {{{29*60}}} minute marks.


It corresponds to  {{{(29*60)*(144/145)}}} minutes of CORRECT TIME.

Now calculate:  {{{(29*60)*(144/145)}}} = 1728 minutes = 28 hours and 48 minutes.
</pre>

<U>Answer</U>. When the gaining clock shows 3:00 pm "tomorrow", the correct clock shows exactly 2:48 pm.



Solved.



Actually, this solution is a "synthesis" of the previously published/posted solutions of other tutors.
It illustrates how to synthesize the correct solution based on incorrect ones.


&nbsp;&nbsp;&nbsp;&nbsp;It is how the dialectic works &nbsp;&nbsp;(a joke, of course). 


Thanks to all the tutors who participated in it.
Together we were able to produce a good solution.


Which is good.



Special thanks to the person who submitted the problem !!!

He submitted it again and again until he got, finally, THE SOLUTION.



&nbsp;&nbsp;&nbsp;&nbsp;Happy New Year to all !!