Question

A $300$ meter long train crosses a platform in $39$ seconds while it crosses a signal pole in $18$ seconds. What is the length of the platform?

• A. $320$ m
• B. $350$ m
• C. $650$ m
• D. Data inadequate
• E. None of these

Answer 1

The correct option is A $320$ m

Let the length of the platform be $x$.

Since, the speed of the train is same in both condition.

Therefore,

$\frac{300+x}{39}=\frac{300}{18}$

$\frac{300+x}{39}=\frac{50}{3}$

$300+x=\frac{50\times 39}{3}$

$300+x=50\times 13$

$300+x=650$

$x=350m$.