The car hire charges in a city comprise of a fixed charges together with the charge for the distance covered.
The car hire charges in a city comprise of a fixed charges together with the charge for the distance covered. For a journey of 12 km, the charge paid is Rs 89 and the journey of 20 km, the charge paid is Rs 145. What will a person have to pay for travelling a distance of 30 km?
Let the fixed charges of car be Rs.x per km and the running charges be $R s . y \mathrm{~km} / \mathrm{hr}$
According to the given condition we have
$x+12 y=89 \cdots(i)$
$x+20 y=145 \cdots(i i)$
$x+12 y=89$
$\frac{x+20 y=145}{-8 y=-56}$
$y=7$
Putting $y=7$ in equation $(i)$ we get
$x+12 y=89$
$x+12 \times 7=89$
$x+84=89$
$x=89-84$
$x=5$
Therefore, Total charges for travelling distance of $30 \mathrm{~km}$
$=x+30 y$
$=5+30 \times 7$
$=5+210$
$=\operatorname{Rs} 215$
Hence, A person have to pay Rs. 215 for travelling a distance of $30 \mathrm{~km}$.
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