In a city, a fixed charge and charge for a distance Is included in the

1.	In a city, a fixed charge and charge for a distance Is included in the fare. If a passenger pays Rs 105 for 10 km and Rs 155 for 15 km,then find the fixed charge and charge per km.
Answer» Let fixed charge = Rs x Charge for distance = Rs y per km them according to question x + 10y = 105 ….(i) x + 15y = 155 …(ii) on subtraction (i) from (ii) 5y = 50 ⇒ y = 10 from equation (i) x + 10(10) = 105 ⇒ x + 100 = 5 + 100 ⇒ x = 5 Hence, fixed charge is Rs 10 and charge for distance is Rs 5 per km.

In a city, a fixed charge and charge for a distance Is included in the fare. If a passenger pays Rs 105 for 10 km and Rs 155 for 15 km,then find the fixed charge and charge per km.

Answer»

Let fixed charge = Rs x

Charge for distance = Rs y per km

them according to question

x + 10y = 105 ….(i)

x + 15y = 155 …(ii)

on subtraction (i) from (ii)

5y = 50

⇒ y = 10

from equation (i)

x + 10(10) = 105

⇒ x + 100 = 5 + 100

⇒ x = 5

Hence, fixed charge is Rs 10 and charge for distance is Rs 5 per km.