Question

Taxi charges in a city consist of fixed charges per day and the remaining depending upon the distance travelled in kilometers. If a person travels 80km, he pays Rs. 1330, and for travelling 90km, he pays Rs. 1490. Find the fixed charges per day and the rate per km.

Answer 1

Let fixed charges be Rs.x and rate per km be Rs.y.
Then as per the question
x + 80y = 1330                   ………(i)
x + 90y = 1490                   ……..(ii)
Subtracting (i) from (ii), we get
10y = 160 ⇒ y = `160/10` = 16
Now, putting y = 16, we have
x + 80 × 16 = 1330
⇒x = 1330 – 1280 = 50
Hence, the fixed charges be Rs.50 and the rate per km is Rs.16.