Question

The car hire charges in a city computerise 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

$\huge\mathcal{\underline{Question:-}}$

The car hire charges in a city computerise 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?

$\huge\mathcal{\underline{Solution:-}}$

Let the total charge = y

the fixed charge = c

charge per km = x

So if a person travels z km, the charge: y = c + zx

for 12km, charge = 89

89 = c + 12x  ---------------(1)

for 20 km, charge = 145

145 = c + 20x  -------------(2)

solving equation 1 and 2, we get,

c = Rs. 5

x = Rs. 7/km

So the charge is: y = Rs(5 + 7x)

For 30km, charge, y = Rs.(5+7×30) = 5 + 210 = Rs. 215