[350 m] A 300 metre long train crosses a platform in 39 seconds while it crosses a post in 18 seconds. What

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A 300 metre long train crosses a platform in 39 seconds while it crosses a post in 18 seconds. What is the length of the platform?

150 m

350 m

420 m

600 m

Explanation:

Length of the train = distance covered in crossing the post = speed × time = speed × 18

Speed of the train = 300/18 m/s = 50/3 m/s

Time taken to cross the platform = 39 s

$\left(300+x\right)$/(50/3) = 39 s where x is the length of the platform

300+x = (39 × 50) / 3 = 650 meter

x = 650-300 = 350 meter

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