Train meeting calculation

When and where will two trains that run simultaneously from stations A and B at a distance of 60 km meet if the train from station A ran at 70 km/h and the train from station B at 50 km/h?

Final Answer:

t =  0.5 h
s₁ =  35 km

Step-by-step explanation:

$$\begin{gathered} v_1=70\text{km/h} \\ {v}_2=50\text{km/h} \\ s=60\text{km} \\ s=v_1\cdot t+v_2\cdot t \\ 60=70\cdot t+50\cdot t \\ 120t=60 \\ t=\frac{60}{120}=0.5 \\ t=\frac{1}{2}=0.5=0.5\text{h} \end{gathered}$$

$s_1=v_1\cdot t=70\cdot 0.5=35\text{km}$

Try another example