Quarter of an hour

If the clock showed a quarter of an hour more, it would be 10 minutes to 10 hours. How many hours do they show?

Result

t = 9:35 hh:mm

Step-by-step explanation:

$$\begin{gathered} t_1=10-10\mathrm{/}60={\displaystyle \frac{59}{6}}\doteq 9.8333\text{ h } \\ t=t_1-1\mathrm{/}4=9.8333-1\mathrm{/}4={\displaystyle \frac{115}{12}}=9.58333=9:35\text{ hh}:\text{mm} \end{gathered}$$

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