Q3. Form the pair of linear equations for the following problems and find their solution by substitution method.
(iv) The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is Rs 105 and for a journey of 15 km, the charge paid is Rs 155. What are the fixed charges and the charge per km? How much does a person have to pay for travelling a distance of 25 km?
Let the fixed charge is x and the per km charge is y.
Now According to the question
Now, From (1) we have,
Substituting this value of x in (2), we have
Now, Substituting this value in (3)
Hence, the fixed charge is 5 Rs and the per km charge is 10 Rs.
Now, Fair For 25 km :
Hence fair for 25km is 255 Rs.