Against each other

Two cars start simultaneously from points A and B, which are 29 km apart, and travel toward each other at speeds of 82 km/h and 72 km/h. How long until they meet, and what distance does each car travel?

Final Answer:

t =  11.3 min
s₁ =  15.44 km
s₂ =  13.56 km

Step-by-step explanation:

$$\begin{gathered} s=29\text{km} \\ {v}_1=82\text{km/h} \\ {v}_2=72\text{km/h} \\ v=v_1+v_2=82+72=154\text{km/h} \\ T=\frac{s}{v}=\frac{29}{154}\doteq 0.1883\text{h} \\ t=T\to \text{min}=T\cdot 60\text{min}=0.1883\cdot 60\text{min}=11.3\text{min}=11.3\text{min} \end{gathered}$$

$s_1=v_1\cdot T=82\cdot 0.1883=15.44\text{km}$

$s_2=v_2\cdot T=72\cdot 0.1883=13.56\text{km}$

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