I need time machine

The clock hands-turning rate $\omega$ is $5$ seconds in $24$ minutes or $\omega = \dfrac{24\times 60 - 5} {24\times 60} = \dfrac{1435}{1440}$ . Let the time lapse after Monday $\text{10:00}$ PM be $t$ , then we have:

$\begin{aligned} t & = \omega t + 19 \times 60 \\ & = \frac{1435}{1440}t + 1140 \\ \Rightarrow \frac{5}{1440}t & = 1140 \\ t & = 328320 \text{ s} \quad \quad \small \color{#3D99F6}{\div 60 \text{ s}} \\ & = 5472 \text{ min} \quad \quad \small \color{#3D99F6}{\div 60 \text{ min}} \\ & = \text{91 hr 12 min} \quad \quad \small \color{#3D99F6}{91 \div 24 \text{ hr}} \\ & = \text{3 days 19 hr 12 min} \end{aligned}$

$\begin{aligned} \Rightarrow 0:22:00 + 3:19:12 & = 3:41:12 \\ & = 4:17:12 \\ & = \boxed{\text{Friday 5:12 PM}} \end{aligned}$

Thought , I would post a simple solution.