Correct option is A. Rs 8.70
Let $$Rs.x$$ be the fare for a journey of $$139.2\,km.$$
| Distance ( in km ) | $$240$$ | $$139.2$$ |
| Fare ( in Rs. ) | $$15$$ | $$x$$ |
Since, the distance traveled and the fare are in direct variation, we have:$$\Rightarrow$$ $$\dfrac{240}{139.2}=\dfrac{15}{x}$$
$$\Rightarrow$$ $$240\times x=15\times 139.2$$
$$\Rightarrow$$ $$x=\dfrac{15\times 139.2}{240}$$
$$\Rightarrow$$ $$x=\dfrac{2088}{240}$$
$$\therefore$$ $$x=8.7$$
$$\therefore$$ The fare for a journey of $$139.2\,km$$ will be $$Rs.8.70.$$