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

125

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135

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150

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175

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Solution

The correct option is D $150$ m
Let the length of the train be x metres. Then,
$\frac{x}{15} = \frac{x + 100}{25} \Rightarrow 25 x = 15 x + 1500$
$\Rightarrow 10 x = 1500 \Rightarrow x = 150 m$

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