SOLUTION: a clock is set right at 10 am the clock {{{highlight(cross(grains))}}} gains 10 min in 24 hrs what will the true time when it indicates 3pm the following day

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Question 1062595: a clock is set right at 10 am the clock highlight%28cross%28grains%29%29 gains 10 min in 24 hrs what will the true time when it indicates 3pm the following day
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let T%5Bg%5D be the reading displayed by the gaining clock and T be the reading of the correct clock.


Since T%5Bg%5D is 10 minutes more than 24 hours = 60*24 minutes, we have

T%5Bg%5D = 1450 when T = 1440.


So, the ratio T%5Bg%5D%2FT = 1450%2F1440 = 145%2F144.


The difference between the readings of the gaining clock at 10:00 am "today" and 3:00 pm "tomorrow" DELTAT%5Bg%5D is 

24 + 5 = 29 hour marks, or 29%2A60 minute marks.


It corresponds to  %2829%2A60%29%2A%28144%2F145%29 minutes of CORRECT TIME.

Now calculate:  %2829%2A60%29%2A%28144%2F145%29 = 1728 minutes = 28 hours and 48 minutes.

Answer. 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.

    It is how the dialectic works   (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.


    Happy New Year to all !!



Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
real-numbers/1062537: A clock is set right at 10AM.The clock gains 10 minutes in 24 hours.What will be the true time when the clock indicates 3PM the following day? 
1 solutions

Proportions/1062514: A clock is set right at 10 AM.The clock gains 10 minutes in 24 hours.What will be the true time when the clock indicates 3 PM the following day? 
1 solutions

and now, 

problem # 1062595

It may've been posted other times too, who knows!!

One of them is WRONG, WRONG, as usual, as that's from the person, "JOGS" or whatever.

Regardless, when is enough, enough? 
Why are you posting this problem so many times? 
If the feel that the answers you're getting are not correct, maybe you need to go elsewhere to get the correct one. How many more times are you going to post it?