Question

A train crosses a pole in $15$ seconds, while it crosses a $100$ m long platform in 25 seconds. The length of the train is

• A. $125m$
• B. $135m$
• C. $150m$
• D. $175m$

Answer 1

The correct option is C $150m$

Let the length of the train be $x$ m. Then,

$\frac{x}{15}=\frac{100+x}{25}$

$\Rightarrow$$25x=1500+15x$

$\Rightarrow$$10x=1500$

$\Rightarrow$$x=150$

Hence, the length of the train is $150m$