### Instruction: It is currently $3\!:\!00\!:\!00 \text{ p.m.}$ What time will it be in $6666$ seconds?  (Enter the time in the format "HH:MM:SS", without including "am" or "pm".).### Response: To find the time in $6666$ seconds, I need to convert seconds to hours, minutes, and seconds, and then add them to the current time.
First, I'll divide $6666$ by $60$ to get the number of minutes, and then take the remainder as the number of seconds.
$6666 \div 60 = 111$ with a remainder of $6$, so $6666$ seconds is equal to $111$ minutes and $6$ seconds.
Next, I'll divide $111$ by $60$ to get the number of hours, and then take the remainder as the number of minutes.
$111 \div 60 = 1$ with a remainder of $51$, so $111$ minutes is equal to $1$ hour and $51$ minutes.
So, $6666$ seconds is equal to $1$ hour, $51$ minutes, and $6$ seconds.
Now, I'll add this to the current time of $3\!:\!00\!:\!00 \text{ p.m.
}$
Adding $1$ hour to $3$ gives me $4$.
Adding $51$ minutes to $0$ gives me $51$.
Adding $6$ seconds to $0$ gives me $6$.
So, the time in $6666$ seconds will be $4\!:\!51\!:\!06$.