Q15 of 29 Page 3

The car hire charges in a city computerise of a fixed charge 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?

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


For a journey of 12 km, the charge paid is Rs 89.


⇒ a + 12b = 89 ……(1)


For a journey of 20 km, the charge paid is Rs 145.


and a + 20b = 145 ……(2)


Subtracting eq (2) from (1) we get,


⇒ a + 12 b – a – 20b = 89 – 145


⇒ – 8b = –56


⇒ b = 7


Put this value in (1) to get,


⇒ a + 12(7) = 89


⇒ a + 84 = 89


⇒ a = 5


For a distance of 30km, amount paid = distance travelled x charge per kilometre + fixed charge


= (30 × 7) + 5


= 210 + 5


= Rs. 215


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