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?

Steps to find fixed charges and the charge per kilometer

Let x represent the fixed charge.

Y will be the variable charge.

Given that the fees for 10 km are Rs. 105, and the fees for 15 km are Rs.

So, according to the question:

Fixed charge + 10 x (charge per km) = Rs 105

x + 10y = 105

On rearranging we get:

x = 105 – 10y …. (1)

For 15 kilometers,

x + 15y = 155

On rearranging we get:

x = 155 – 15y …. (2)

From equations (1) and (2)

105 – 10y = 155 – 15y

y = 10

Substituting y in equation (1)

x = 105 – 10 x 10

x = 5

For travelling 25 km, he has to pay

= x + 25y

putting value in the above equation we get:

= 5 + 25 x 10

= Rs 255

Summary:

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?

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. The fixed charges and the charge per kilometer are Rs 5 and Rs 10. A person should pay Rs 255 for travelling a distance of 25 km.