A $90$ m long train is running at a speed of $54$ km/hr. If it takes $30$ seconds to cross a platform, find the length of the platform.

120

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240

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360

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480

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Solution

The correct option is B $360$ m
Let length of platform $= l m$
Total distance $= (l + 90) m$
Now, speed $= \frac{D i s t a n c e}{t i m e} \Rightarrow \frac{84 \times 1000}{3600} = \frac{l + 90}{30}$
$\Rightarrow \frac{l + 90}{30} = 15 \Rightarrow l = 450 - 90 = 360 m$
$∴$ Length of platform $= 360 m$

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A 90 m long train is running at a speed of 54 km/hr. If it takes 30 seconds to cross a platform, find the length of the platform.

The correct option is B 360 mLet length of platform=lmTotal distance=(l+90)mNow, speed=Distancetime⇒84×10003600=l+9030⇒l+9030=15⇒l=450−90=360m∴Length of platform =360m

A $90$ m long train is running at a speed of $54$ km/hr. If it takes $30$ seconds to cross a platform, find the length of the platform.