Tourists

From the cottage started first group of tourists at 7:00 AM at speed 4 km/h. The second started after them 21 minutes later at speed 6 km/h. How long and how many kilometers from the cottage will catch the first group?

Correct answer:

t =  0.7 h
s =  4.2 km

Step-by-step explanation:

$$\begin{gathered} v_1=4\text{ km/h } \\ {v}_2=6\text{ km/h } \\ {t}_2=21\text{ min}\to \text{ h}=21\mathrm{/}60\text{ h}=0.35\text{ h } \\ {s}_1=s_2=s \\ {v}_1\cdot (t+t_2)=v_2\cdot t \\ 4\cdot (t+0.35)=6\cdot t \\ 2t=1.4 \\ t={\displaystyle \frac{7}{10}}=0.7=0.7\text{ h} \end{gathered}$$

$s=v_2\cdot t=6\cdot 0.7=4.2\text{ km}$

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