Clock mathematics

If it is now 7:38 pm, what time will it be in 30,033,996,480 minutes from now?

Result

t₂ = 7:38 hh:mm

Solution:

$$\begin{gathered} t_1=7{\displaystyle \frac{38}{60}}={\displaystyle \frac{7\cdot 60+38}{60}}={\displaystyle \frac{458}{60}}={\displaystyle \frac{229}{30}}=7\frac{19}{30}\doteq 7.6333 \\ a=30033996480\text{ min } \\ d=24\cdot 60=1440\text{ min } \\ {n}_1=a\mathrm{/}d=30033996480\mathrm{/}1440=20856942\text{ d } \\ {r}_1=a-\lfloor n_1\cdot d\rfloor =30033996480-\lfloor 20856942\cdot 1440\rfloor =0\text{ min } \\ {t}_2=t_1+r_1\mathrm{/}60=7.6333+0\mathrm{/}60={\displaystyle \frac{229}{30}}=7\frac{19}{30}=7.63333=7:38\text{ hh}:\text{mm} \end{gathered}$$

Try another example

Showing 1 comment:

Aumum

for example 1/8 / 1/8

3 months ago  Like

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