The correct answer is: " 12:15 a.m."
Step-by-step explanation:
1 hour = 60 minutes {"exact equivalent."}
⇒ p.m. = afternoon or evening;
{Note: "p.m." stands for: post meridiem —in Latin terminology.}.
____
7 hours + 5 hours = 12 hours; 12 hours +
hours = 12
hours.
____
1) 1st hour: 7 pm - 8 pm
2) 2nd hour: 8 pm - 9 pm
3) 3rd hour: 9 pm - 10 pm
4) 4th hour: 10 pm - 11 pm
5) 5th hour: 11 pm - 12 am ;
Note: After 5 [five] hours past 7:00 pm;
The determined time, at this stage of solving this problem, is: 12am ; {commonly known as midnight ; based on the "am/pm" time schedule.
{Note: "a.m." stands for: ante meridiem— in Latin terminology.}
Then: we add: "
" hour to: 12 am.
____
hr = 0.25 hr.
{
} ;
→ The units of "hr" [for: "hour(s)"]; cancel out ; since: "[ (hr ÷ hr) = 1 ] ".
and we have:
____
So: 12am + 15 minutes; which is: 12:15 a.m. → the correct answer.
Hope this is helpful to you!
Best wishes in your academic endeavors!
____