Question

The second class railway fare for 240 km of Journey is Rs 15.00. What would be the fare for a journey of 139.2 km?

Answer 1

Let Rs x be the fare for a journey of 139.2 km.

Distance (in km)	240	139.2
Fare (in Rs.)	15	x

$$\begin{gathered} \mathrm{Since}\mathrm{the}\mathrm{distance}\mathrm{travelled}\mathrm{and}\mathrm{the}\mathrm{fare}\mathrm{are}\mathrm{in}\mathrm{direct}\mathrm{variation},\mathrm{we}\mathrm{have}: \\ \frac{240}{139.2}=\frac{15}{x} \\ \Rightarrow 240\times x=15\times 139.2 \\ \Rightarrow x=\frac{15\times 139.2}{240} \\ =\frac{2088}{240} \\ =8.7 \\ \mathrm{Thus},\mathrm{the}\mathrm{fare}\mathrm{for}\mathrm{a}\mathrm{journey}\mathrm{of}139.2\mathrm{km}\mathrm{will}\mathrm{be}\mathrm{Rs}8.70. \end{gathered}$$