SSC Quantitative Aptitude Boats & Streams Question Bank Train and Boat (I)

  • question_answer
    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

    Solution :

    [a] Let the length of the train be x m. According to the question, \[\frac{x}{9}=\,\text{speed}\]                        …(i) and \[\frac{x+150}{15}=\text{speed}\]                    ...(ii) From Eqs. (i) and (ii), we get \[\frac{x}{9}=\frac{x+150}{15}\] \[\Rightarrow \]            \[5x=3x+450\] \[\Rightarrow \]            \[x=225\,m\]


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