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A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:

50 m
150 m
200 m
Data inadequate
Explanation:

Let the length of the train be $ x $ metres and its speed by $ y $ m/sec.

Then,$ \dfrac{x}{y} $= 15 $\Rightarrow$ $ y $ =$ \dfrac{x}{15} $.
$\Rightarrow \dfrac{x + 100}{25} $=$ \dfrac{x}{15} $

$\Rightarrow 15( x $ + 100) = 25$ x $

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

$\Rightarrow 1500 = 10 x $

$\Rightarrow x $ = 150 m.

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