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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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
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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