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

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Answers

2015-09-08T16:05:21+05:30
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
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