A train crosses a bridge of length 150 m in 15 s and a

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A train crosses a bridge of length 150 m in 15 s and a man standing on it in 9 s. The train is travelling at a uniform speed. Length of the train is ?

1. 225 m
2. 200 m
3. 135 m
4. 90 m

Correct Option: A

Let the length of the train be L m.
According to the question,
L/9 = Speed ...(i)
and (L + 150)/15 = Speed ..(ii)
from Eqs. (i) and (ii) we get
L/9 = (L + 150)/15
⇒ L/3 = (L + 150)/5
⇒ 5L = 3L + 450
⇒ L = 225 m