Sebastian

From Kovalov Sebastian walks at 6 km / h started at 8:00 in the direction of Kuty. From Kuty, the godfather is driving at 50 km/h and started at 8:30. The distance is 24 km. When and where grandfather will take Sebastian to the car.

Result

t = 8:53 h
s =  5.3 km

Solution:

$$\begin{gathered} v_1=6\text{ km/h } \\ {v}_2=50\text{ km/h } \\ a=24\text{ km } \\ {t}_2=8+30\mathrm{/}60={\displaystyle \frac{17}{2}}=8.5\text{ h } \\ s=v_1\cdot (t-8.00) \\ d=v_2\cdot (t-t_2) \\ s+d=a \\ s=6\cdot (t-8.00) \\ d=50\cdot (t-8.5) \\ s+d=24 \\ s-6t=-48 \\ d-50t=-425 \\ d+s=24 \\ d={\displaystyle \frac{75}{4}}=18.75 \\ s={\displaystyle \frac{21}{4}}=5.25 \\ t={\displaystyle \frac{71}{8}}=8.875=8:53\text{ h} \end{gathered}$$

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