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 ?

Answer: Option D

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,
$$\begin{array}{rl}& \Rightarrow x:\frac{5x}{4}::t:4\frac{5}{12}\\ & \Rightarrow 1:\frac{5}{4}::t:\frac{53}{12}\\ & \Rightarrow \frac{5}{4}t=\frac{53}{12}\\ & \Rightarrow t=\left(\frac{53}{12}\times \frac{4}{5}\right)\\ & \Rightarrow t=\frac{53}{15}\\ & \Rightarrow t=3\frac{8}{15}\text{ hrs}\end{array}$$