Departed 18123

The train left station A at 10 o'clock. At a speed of 55 km/h. One and a half hours later, opposite him, an express train departed from station B, 360 km from station A, at a speed of 130 km/h. At what time and how far from station A will both trains meet

Result

T = 13:00 hh:mm
s₁ =  165 km

Step-by-step explanation:

$$\begin{gathered} v_1=55\text{km/h} \\ {v}_2=130\text{km/h} \\ {v}_1\cdot t+v_2\cdot (t-1.5)=360 \\ 55\cdot t+130\cdot (t-1.5)=360 \\ 185t=555 \\ t=\frac{555}{185}=3 \\ t=3 \\ T=10.00+t=10.00+3=13=13:00\text{hh}:\text{mm} \end{gathered}$$

$s_1=v_1\cdot t=55\cdot 3=165\text{km}$

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