225k views
0 votes
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.

1 Answer

2 votes

Final answer:

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.

User Wiswit
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.