Question

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 315 and for a journey of 15 km, the charge paid is 465.. What are the fixed charges and the
charge per kilometer? How much does a person have to pay for travelling a distance of 32 km ?​

Answer 1

30 for a kilometer

and and 972 for 32km

Answer 2

Solution:-

Let the fixed charges be: ₹x

Let the charge per km be: ₹y

A/Q,

x+10y=315 ....(1)

and

x+15y=465. ....(2)

On Subtracting eq. (1) & (2). We get,

5y=150

y=30

Now, putting the value of y in eq. (1) we get,

x+10y=315

x+300=315

x=15

Hence, the fixes charges of a city is ₹15

and charge per km is ₹30

Now, for travelling a distance of 32km

x + 32y = 15 + 32×30 = ₹ 975

Thus , a persona has to pay ₹ 975 for travelling a distance of 32km.

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