Question

a car Travels 950 kilometre at an average of 16 kilometre per litre additional 530 kilo metre and total average kilometre per litre is shown as 18 kilometre per litre find out the average kilometre per litre of additional 530 kilometre per litre of d car

Answer 1

$$\begin{gathered} \mathrm{let}l\mathrm{km}/\mathrm{litre}\mathrm{is}\mathrm{the}\mathrm{expense}\mathrm{of}\mathrm{oil}\mathrm{for}\mathrm{additional}530\mathrm{km}. \\ \mathrm{ATQ}, \\ \frac{950}{16}+\frac{530}{l}=\frac{950+530}{18} \\ \Rightarrow \frac{475}{8}+\frac{530}{l}=\frac{1480}{18} \\ \Rightarrow \frac{475}{8}+\frac{530}{l}=\frac{740}{9} \\ \Rightarrow \frac{530}{l}=\frac{740}{9}-\frac{475}{8} \\ \Rightarrow \frac{530}{l}=\frac{5920-4275}{72} \\ \Rightarrow \frac{530}{l}=\frac{1645}{72} \\ \Rightarrow l=\frac{530\times 72}{1645} \\ =23.2\mathrm{km}/\mathrm{litre} \end{gathered}$$