Question

If you travel by an autorikshaw 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. 41.50 and that for a distance of 26 km it is Rs. 53.50. Find the auto fare for the first kilometre and for each successive kilometre.​

Answer 1

Answer:

Fare for the first kilometre = ₹ 3.5

Fare for the remaining distance = ₹ 2

Step-by-step explanation:

Let the rate for 1 Km be ₹ x and rate for remaining distance be ₹ y

So,

Case I :

x + 19y = ₹ 41.5(1)

Case II :

x + 25y = ₹ 53.5(2)

Using elimination

Substract (1) from (2)

y = ₹ 2

x = ₹ 3.5

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