A person travels 5x distance at a speed of 5 km/h, x distance at a speed of 5 km/h, and 4x distance at a speed of 6 km/h, and takes a total of 112 minutes. What is the total distance (in km) travelled by the person?

Solution (By Examveda Team)

$$\eqalign{ & \frac{{5x}}{5} + \frac{x}{5} + \frac{{4x}}{6} = \frac{{112}}{{60}} \cr & \Rightarrow \frac{{30x + 6x + 20x}}{{30}} = \frac{{112}}{{60}} \cr & \Rightarrow 56x = 56 \cr & \Rightarrow x = 1 \cr & \therefore {\text{Total distance}} = 5x + x + 4x \cr & = 10x \cr & = 10{\text{ km}} \cr} $$