Time adding

Add and write the result again as hours, minutes, seconds:

2hodiny45min15s + 1h20m50s =

Correct answer:

h =  4
m =  6
s =  5

Step-by-step explanation:

$$\begin{gathered} t_1=2\cdot 3600+45\cdot 60+15=9915 \\ {t}_2=1\cdot 3600+20\cdot 60+50=4850 \\ t=t_1+t_2=9915+4850=14765 \\ {h}_1=t\mathrm{/}3600=14765\mathrm{/}3600={\displaystyle \frac{2953}{720}}=4\frac{73}{720}\doteq 4.1014 \\ h=\lfloor h_1\rfloor =\lfloor 4.1014\rfloor =4 \end{gathered}$$

$$\begin{gathered} t_3=t-3600\cdot h=14765-3600\cdot 4=365 \\ {m}_1=t_3\mathrm{/}60=365\mathrm{/}60={\displaystyle \frac{73}{12}}=6\frac{1}{12}\doteq 6.0833 \\ m=\lfloor m_1\rfloor =\lfloor 6.0833\rfloor =6 \end{gathered}$$

$s=t_3-60\cdot m=365-60\cdot 6=5$

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