Distance 21883

The distance between K and L is 150 km. At 8.00, a car left place K at a speed of 60 km/h. At 9:00 a.m., a second car drove towards him from location L at 75 km/h. At what time will they meet, and how far from L will it be?

Result

t = 9:40 hh:mm
s₂ =  50 km

Step-by-step explanation:

$$\begin{gathered} s_1+s_2=s \\ {v}_1=60\text{km/h} \\ {v}_2=75\text{km/h} \\ s=150\text{km} \\ {v}_1\cdot (x-8.00)+v_2\cdot (x-9.00)=s \\ 60\cdot (x-8.00)+75\cdot (x-9.00)=150 \\ 135x=1305 \\ x=\frac{1305}{135}=9.66666667 \\ x=\frac{29}{3}\doteq 9.666667 \\ t=x=9.6667=9.66667=9:40\text{hh}:\text{mm} \end{gathered}$$

$s_2=v_2\cdot (x-9.00)=75\cdot (9.6667-9.00)=50\text{km}$

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