If you travel by an autorickshaw the fare for the first kilometre is different from the rate per km for - Maths - Pair of Linear Equations in Two Variables

Question

If you travel by an autorickshaw the fare for the first
kilometre is different from the rate per km for the remaining
distance The total fare for a distance of 20 km is Rs 37 70 and
that for a distance of 26 km is Rs 48 50 Find the auto fare for the
first kilometre and for each successive kilometre

Utkarsh Singh · Answer

Let the fare for the first kilometre be x, and the remaining
distance be y
So, according to the question,
x + 19y = 37 70
x + 25y = 48 50
by elimination method we get
-6y = -10 80 =? y = 10 80/6 = 1 8 => Fare for the remaining
distance = Rs 1 80
now,
x + 19y = 37 70
taking the value of y in this equation we get
x + 34 2 = 37 70
=> x = 37 7 - 34 2 = 3 5
Therefore, the fare for the 1st km is Rs 3 5 and the remaining
each kilometre is Rs 1 8
Hope this helps!! :)