The speed of electric train is 25% more than that of steam engine train. What is the time taken by an electric train to cover a distance which a steam engine takes 4 hours 25 minutes to cover ?

Solution (By Examveda Team)

Let the speed of steam engine train be x
Then, speed of electric train = 125% of x = $$\frac{5x}{4}$$
Time taken by steam engine :
= 4 hrs 25 min
= $$4\frac{25}{60}$$ hrs
= $$4\frac{5}{12}$$ hrs
Let the time taken by electric train be $$t$$ hours
Then,
$$\eqalign{ & \Rightarrow x:\frac{{5x}}{4}::t:4\frac{5}{{12}} \cr & \Rightarrow 1:\frac{5}{4}::t:\frac{{53}}{{12}} \cr & \Rightarrow \frac{5}{4}t = \frac{{53}}{{12}} \cr & \Rightarrow t = \left( {\frac{{53}}{{12}} \times \frac{4}{5}} \right) \cr & \Rightarrow t = \frac{{53}}{{15}} \cr & \Rightarrow t = 3\frac{8}{{15}}{\text{ hrs}} \cr} $$