Škoda cars

At 8:30 AM, Škoda 120 started from Prievidza at 60 km/h in the direction of Bratislava. At 9:00, started from Prievidza in the same direction as Škoda Rapid at 90 km/h. Where and when will Škoda Rapid catch up with Skoda 120?

Result

T = 10:00 hh:mm
s =  90 km

Step-by-step explanation:

$$\begin{gathered} v_1=60\text{km/h} \\ {v}_2=90\text{km/h} \\ {s}_1=s_2 \\ {v}_1\cdot (t-8.50)=v_2\cdot (t-9.00) \\ 60\cdot (t-8.50)=90\cdot (t-9.00) \\ 30t=300 \\ t=\frac{300}{30}=10 \\ t=10 \\ T=t=10=10:00\text{hh}:\text{mm} \end{gathered}$$

$s=v_1\cdot (t-8.50)=60\cdot (10-8.50)=90\text{km}$

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