question_answer

 

Directions: Q. 26 to 30
It is common that Governments revise travel fares from time to time based on various factors such as inflation (a general increase in prices and fall in the purchasing value of money) on different types of vehicles like auto, Rickshaws, taxis, Radio cab etc. The auto charges in a city comprise of a fixed charge together with the charge for the distance covered. Study the following situations.
Name of the city	Distance travelled (km)	Amount paid (in Rs)
City A	10	75
	15	110
City B	8	91
	14	145
Situation 1 In city A, for a journey of 10 km, the charge paid is Rs 75 and for a journey of 15 km, the charge paid is Rs 110.
Situation 2 In a city B, for a journey of 8 km, the charge paid is Rs 91 and for a journey of 14 km, the charge paid is Rs 145.

Refer situation 1

If the fixed charges of auto rickshaw be Rs x and the running charges be Rs y km/h, the pair of linear equations representing the situation is

 

A) \[x+10y=110,x+15y=75\]

B) \[x+10y=75,x+15y=110\]

C) \[10x+y=110,15x+y=75\]

D) \[10x+y=75,15x+y=110\]