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


A) 225 m

B) 200 m

C) 135 m

D) 90 m

Correct Answer:
A) 225 m

Description for Correct answer:

Let the length of the train be x m.

According to the question,

\( \Large \frac{x}{9}=Speed \) ...(i)

\( \Large \frac{x+150}{15}=Speed \) ...(ii)

From Eqs. (i) and (ii), we get

\( \Large \frac{x}{9} = \frac{x+150}{15} \)

=> \( \Large \frac{x}{3} = \frac{x+150}{5} \)

=> 5x = 3x + 450

=> x = 225 m


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