Car consumption average

The car consumes up to 16 l in the city, but on a longer trip, the consumption drops to 10 l? 500 km per month in the city and 1650 km outside the city. What is the consumption of a car per 100 km?

Final Answer:

s =  11.3953 l/100km

Step-by-step explanation:

$$\begin{gathered} s_0=100\text{km} \\ {s}_1=500\text{km} \\ {s}_2=1650\text{km} \\ {V}_1=16\cdot \frac{s_1}{s_0}=16\cdot \frac{500}{100}=\frac{16\cdot 500}{100}=\frac{8000}{100}=80\text{l} \\ {V}_2=10\cdot \frac{s_2}{s_0}=10\cdot \frac{1650}{100}=\frac{10\cdot 1650}{100}=\frac{16500}{100}=165\text{l} \\ V=V_1+V_2=80+165=245\text{l} \\ s=s_1+s_2=500+1650=\frac{490}{43}\doteq 11.3953\text{km} \\ s=V\cdot \frac{s_0}{s}=245\cdot \frac{100}{11.3953}=11.3953\text{l/}100\text{km} \end{gathered}$$

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