Question

The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is Rs. 105 and for a journey of 15 km, the charge paid is Rs. 155. What are the fixed charges and the charge per kilometer? How much does a person have to pay for travelling a distance of 25 km?

Answer 1

Let the fixed charge be x

& the variable charge be y.

Given that charge paid for 10 km is Rs 105 and for 15 km is Rs 155

So,

Fixed charge +$10\times$(Charge per km)$=Rs105$

$x+10y=105\Rightarrow x=105-10y$ (1)

And for 15 kilometers,

$x+15y=155\Rightarrow x=155-15y$ (2)

From (1) and (2)

$105-10y=155-15y\Rightarrow y=10$

putting value of y in equation (1)

$x=105-10\times 10$

$x=5$

For travelling 25 km, he has to pay

$=x+25y$

(5 + 25 $\times$ 10)

= Rs.255.