The taxi charges in a city comprise of a fixed charge of Rs 100 for 5

1.	The taxi charges in a city comprise of a fixed charge of Rs 100 for 5 kms and Rs 16 per km for ever additional km. If the amount paid at the end of the trip was Rs 740, find the distance traveled.
Answer» Let the distance travelled by taxi be ‘x’ km For the first 5 km the charge = Rs 100 For additional kms the charge = Rs 16(x – 5) ∴ For x kms the charge = 100 + 16(x – 5) Amount paid = Rs 740 ∴ 100 + 16(x – 5) = 740 100 + 16(x – 5) – 100 = 740- 100 16(x – 5) = 640 \(\frac{16(x-5)}{16}=\frac{640}{16}\) x – 5 = 40 x – 5 + 5 = 45 + 5 x = 45 x = 45 km ∴ Total distance travelled = 45 km

The taxi charges in a city comprise of a fixed charge of Rs 100 for 5 kms and Rs 16 per km for ever additional km. If the amount paid at the end of the trip was Rs 740, find the distance traveled.

Answer»

Let the distance travelled by taxi be ‘x’ km

For the first 5 km the charge = Rs 100

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

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

Amount paid = Rs 740

∴ 100 + 16(x – 5) = 740

100 + 16(x – 5) – 100 = 740- 100

16(x – 5) = 640

\(\frac{16(x-5)}{16}=\frac{640}{16}\)

x – 5 = 40

x – 5 + 5 = 45 + 5

x = 45

x = 45 km

∴ Total distance travelled = 45 km