Question 1062514
First sentence describes a ratio.
{{{(24/(24+10/60))(TrueHours/OntheClockHours)}}}


You want to simplify this a bit.
{{{24/(24+1/6)}}}


{{{24/(145/6)}}}


{{{24*6/145}}}


{{{(144/145)(TrueHours/OntheClockHours)}}}


..
The description in the question is about some time quantity, ON THE CLOCK.
10AM to 10AM on the clock is 24 hours; next, from this 10AM to nearest 3PM is 5 hours more, so total of 29 hours ON THE CLOCK, not true hours of time.


Now ready to use the ratio to get the TIME QUANTITY, not yet the time point.
{{{29*(OntheClockHours)(144/145)(TrueHours/OntheClockHours)}}}


True Hours passed, 28 Hours  0.8 Hour
28 Hours 48 Minutes.  That is AMOUNT of time after the 10AM of previous day.





---