Question

The car hire charges in a city comprise of a fixed charges together with the charge for the distance covered. For a journey of 12 km, the charge paid is ₹ 89 and for a journey of 20 km, the charge paid is ₹ 145. What will a person have to pay for travelling a distance of 30 km?

Answer 1

Let the fixed charge of the car be ₹ x and, 

Let the variable charges of the car be ₹ y per km. 

So according to the question, we get 2 equations 

x + 12y = 89 —— (i) and, 

x + 20y = 145 —— (ii) 

Now, by solving (i) and (ii) we can find the charges. 

On subtraction of (i) from (ii), we get, 

-8y = -56 

y = −56 − 8 

⇒ y = 7 

So, substituting the value of y = 7 in equation (i) we get 

x + 12y = 89 

x + 84 = 89 

x = 89 – 84 

⇒ x = 5 

Thus, the total charges for travelling a distance of 30 km can be calculated as: x + 30y 

⇒ x + 30y 

= 5 + 210 

= ₹ 215 

Therefore, a person has to pay ₹ 215 for travelling a distance of 30 km by the car.