A train $140$ m long , passes a telegraph post in $14$ sec. Find time taken by it to pass a platform $160$ m long .

30

sec

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20

sec

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25

sec

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40

sec

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Solution

The correct option is A $30$ sec
We know:
$S p e e d = \frac{d i s t a n c e}{t i m e}$
distance $= 140 m$
time $= 14 s e c$
$\Rightarrow$ speed $= \frac{140}{14} = 10 m / s$
Distance of platform $= 160 m$
$\Rightarrow$ total distance $= 140 + 160 = 300 m$
$t i m e = \frac{d i s t a n c e}{s p e e d}$

$\Rightarrow$ Time $= \frac{300}{10} = 30 s e c$

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