Question

in a city, the city charges consists of two types of charges a fixed charges together with the charge for the distance covered. If a person travels 10 km, he pays Rs 180 In a city, the taxi charges consists of two types of a charges: a fixed charge together and for travelling 12 km, he pays Rs 210. Find the fixed charges and the rate of charge per km.

Answer 1

The fixed charges for the taxi service are Rs 30, and the rate of charge per km is Rs 15.

Step-by-step explanation:

To find the fixed charges and the rate of charge per km for taxi services in a city, we can set up two equations based on the given information. Let's denote the fixed charge as F and the charge per km as c. We are given two scenarios: for 10 km, the total charge is Rs 180, and for 12 km, the total charge is Rs 210.

The equations will then be as follows:

1. 10c + F = 180 (for the 10 km travel)
2. 12c + F = 210 (for the 12 km travel)

Subtracting the first equation from the second gives us:

2c = 30

Dividing both sides by 2, we find:

c = 15

This means that the rate of charge per km is Rs 15. Now we can substitute this value into one of the original equations:

10*15 + F = 180

150 + F = 180

Subtracting 150 from both sides, we find:

F = 30

So the fixed charge is Rs 30.