A man performs $$\frac{3}{5}$$ of the total journey by rail, $$\frac{7}{20}$$ by bus and the remaining 6.5 km on foot. His total journey is :

Solution (By Examveda Team)

Let the total journey be x km
Then,
$$\eqalign{ & \Leftrightarrow \frac{{3x}}{5} + \frac{{7x}}{{20}} + 6.5 = x \cr & \Leftrightarrow \frac{{12x + 7x + 20 \times 6.5}}{{20}} = x \cr & \Leftrightarrow 12x + 7x + 20 \times 6.5 = 20x \cr & \Leftrightarrow x = 130{\text{ km}} \cr} $$