Question

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

Taxi charges in a city consist of fixed charges and the remaining depending upon the distance travelled in kilometres. If a man travels 80 km, he pays Rs. 1330, and for travelling 90 km, he pays Rs. 1490. Find the fixed charges and 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` 

⇒ y = 16

Now, putting y = 16, we have

x + 80 × 16 = 1330

⇒ x = 1330 – 1280

⇒ x = 50

Hence, the fixed charges be Rs. 50 and the rate per km is Rs. 16.