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 Rs 89 and for a journey of 20 km, the charge paid is Rs 145. What will a person have to pay for travelling a distance of 30 km?

Answer 1

Let the fixed charge be Rs. c and the charge per km be Rs. x.

For travelling 12km, charge = 89

$\Rightarrow$ 89 = c + 12x ---------------(1)

For travelling 20 km, charge = 145

$\Rightarrow$ 145 = c + 20x -------------(2)

Solving equations 1 and 2, we get,

8x = 56

$\Rightarrow$ x = 7

Substituting in equation (1), we get c = 5

So, the fixed charge is Rs. 5 and the charge per km is Rs. 7.

For travelling 30 km, charge = 5+7×30 = Rs. 215