Question

The length of a train and that of a platform are equal. If with the speed of $54$ km/hr, the train crosses the platform in 1$\frac{1}{2}$ minutes, then what is the length of the platform in metres?

• A. $675$ m
• B. $505$ m
  
• C. $847$ m
  
• D. $620$ m
  

Answer 1

The correct option is A $675$ m

Let the length of the train and platform be x m each.

Speed of the train $=54km/hr=(54\times \frac{5}{18})m/s=15m/s$

Then, $\frac{x+x}{15}=(1.5\times 60)seconds\Rightarrow 2x=1.5\times 60\times 15=1350m$

$\Rightarrow x=675m$