Question

Set up a table and solve the following problems. Use unitary method to verify the answer.
The second-class railway fare for $240km$ of journey is $Rs.15.00$. What would be the fare for a journey of $139.2km$ ?

Answer 1

Draw a table and find the fare

Given: Railway fare for $240km$ of journey $=Rs.15$

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

Distance $\left(km\right)$	$240$	$139.2$
Fare $\left(Rs\right)$	$15$	$x$

Clearly, for journey of less distance, less fare would be taken. So, it is a case of direct variation.

Therefore, ratio of the distance covered to the fare would be same for both the cases.

$\Rightarrow \frac{240}{15}=\frac{139.2}{x}$

$\Rightarrow x=139.2\times \frac{15}{240}$

$\Rightarrow x=Rs.8.7$

Therefore, the railway fare for $139.2km$ of journey will be $Rs.8.7$.

Verify using unitary method

Given:Railway fare for $240km$ of journey $=Rs.15$

$\Rightarrow$ Fare for a journey of distance $240km=Rs.15$

$\Rightarrow$ Fare for a journey of distance $1km=\frac{15}{240}$

$=\frac{1}{16}$

$\Rightarrow$ Fare for a journey of distance $139.2km$

$=\frac{1}{16}\times 139.2$

$=Rs.8.7$

Therefore, the railway fare for $139.2km$ of journey will be $Rs.8.7$.
Hence, verified.