SSC Sample Paper SSC CGL - Sample Paper-13

  • question_answer
    A train crosses a pole in 15 s and a 100 m long platform in 25 s. The length of the train is

    A) 125 m              

    B) 130 m

    C) 150 m  

    D) 175 m

    Correct Answer: C

    Solution :

    Let the lenght of the train = x m When the train crosses a pole, the speed of train             \[=\frac{x}{15}\]                                               ? (i) Mien the train crosses a platform, then speed of train             \[\text{=}\frac{\text{Length of(platform+train)}}{\text{Time take}}\]             \[=\frac{100+x}{25}\]                           ? (ii) From Eqs. (i) and (ii),             \[\frac{x}{15}=\frac{100+x}{5}\] \[\Rightarrow \]   \[\frac{x}{3}=\frac{100+x}{5}\] \[\Rightarrow \]   \[5x=300+3x\] \[\Rightarrow \] \[2x=300\] \[\Rightarrow \]   \[x=\frac{300}{2}=150\,m\]      

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