Question

The taxi charges in a city comprised of a fixed charge of ₹ 100 for 5 kms and ₹ 16 per km for every additional km. If the amount paid at the end of the trip was ₹ 740 find the distance travelled.

Answer 1

Let the distance travelled by taxi be ‘x’ km

For the first 5 km the charge = ₹ 100

For additional kms the charge = ₹ 16(x – 5)

∴ For x kms the charge = 100 + 16(x – 5)

Amount paid = ₹ 740

∴ 100 + 16(x – 5) = 740

100 + 16(x – 5) – 100 = 740 – 100

16(x – 5) = 640

`(16(x - 5))/16 = 640/16`

x – 5 = 40

x – 5 + 5 = 45 + 5

x = 45

x = 45 km

∴ Total distance travelled = 45 km