Question

The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of $10km,$ the charge paid is $Rs.315.$ and for adistnace of $15km,$ the charge paid is $Rs.465.$ What are the fixed charges and the charge per km ? How much does a person have to pay for travelling a distance of $32km$ ?

Answer 1

Let fixed charge of taxi$=x$

Charge per km distance$=y$

Now, According to question,

$x+10y=105------\left(1\right)x+15y=\mathrm{155.....}\left(2\right)$

Now, equation $\left(2\right)-\left(1\right)$

$\Rightarrow y=10,x=5$

Charge for travelling a distance of $25km=5+(10\times 25)=255$