The car hire charges in a city computerise of a fixed charges together

1.	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» Let the fixed charge be ‘a’ and the charge per km travelled be ‘b’ Given, 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 ⇒ a + 12b = 89 ----- (1) and a + 20b = 145 ----- (2) (1) – (2) ⇒ - 8b = - 56 ⇒ b = 7 Thus, a + 84 = 89 ⇒ a = 5 For a distance of 30 km, amount paid = distance travelled x charge per kilometre + fixed charge = 30 × 7 + 5 = Rs. 215

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»

Let the fixed charge be ‘a’ and the charge per km travelled be ‘b’

Given,

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

⇒ a + 12b = 89 ----- (1)

and a + 20b = 145 ----- (2)

(1) – (2)

⇒ - 8b = - 56

⇒ b = 7

Thus,

a + 84 = 89

⇒ a = 5

For a distance of 30 km,

amount paid = distance travelled x charge per kilometre + fixed charge

= 30 × 7 + 5 = Rs. 215