Question

If the fixed charge in a city is Rs. x and the charge per km is Rs. 5, and the total fare is Rs. 60, then find the equation.

A. 60=5x
B. 60=5x+distance
C. 60=5+x×distance
D. 60=x+5×distance

Answer 1

The correct equation for the total fare in relation to the fixed charge and charge per kilometer is D. 60 = x + 5 × distance, where 'x' is the fixed charge and 'distance' is the total distance traveled.

Step-by-step explanation:

The question involves creating an equation that relates the fixed charge, charge per kilometer, and total fare in a city. The total fare (Rs. 60) is a combination of the fixed charge (Rs. x) and the charge per kilometer (Rs. 5) multiplied by the distance traveled.

To find the correct equation, we represent the fixed charge as 'x', the charge per kilometer as '5', and the distance traveled as 'distance'.

The correct equation that represents this relationship is D. 60 = x + 5 × distance. This equation shows that the total fare is the sum of the fixed charge 'x' plus 5 times the total distance traveled.

Here's a step-by-step breakdown of the equation:

1. Start with the fixed charge, which is 'x'.
2. Next, for every kilometer traveled, there is an additional charge of Rs. 5. So, the total variable charge is '5 × distance'.
3. To find the total fare, you add the fixed charge 'x' to the total variable charge, resulting in the equation: 60 = x + 5 × distance.

Therefore answer is D. 60=x+5×distance.