The speed of a train is 220% of the speed of a car. The car covers a distance of 950 km in 19 hours. How much distance will the train cover in $$3\frac{1}{2}$$ hours?

Solution (By Examveda Team)

\[\begin{array}{*{20}{c}} {}&{{\mathbf{Car}}}&{}&{{\mathbf{Train}}} \\ {}&{100}&{}&{220} \\ {{\text{Speed}} \to }&5&:&{11} \\ {{\text{Time}} \to }&{11}&:&5 \end{array}\]
$$\eqalign{ & {\text{Actual speed of car}} = \frac{{950}}{{19}} = 50{\text{ km/m}} \cr & {\text{5 unit}} \to {\text{50 km/h}} \cr & {\text{1 unit}} \to 1{\text{0 km/h}} \cr & {\text{11 unit}} \to 11{\text{0 km/h}} \cr & {\text{Distance cover by train in }}3\frac{1}{2}{\text{ hour}} \cr & = 110 \times \frac{7}{2} \cr & = \frac{{770}}{2} \cr & = 385{\text{ km}} \cr} $$