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

  • question_answer
    A train with a uniform speed passes a platform, 122 m long, in 17 s and a bridge, 210 m long, in 25 s. The speed of the train is

    A) 46.5 km/h

    B) 37.5 km/h

    C) 37.6 km/h

    D) 39.6 km/h

    Correct Answer: D

    Solution :

    [d] Let the length of the train = x m \[\therefore \]    \[\frac{x+122}{17}=\frac{x+210}{25}\] \[\Rightarrow \]            \[25x+3050=17x+3570\] \[\Rightarrow \]            \[8x=520\] \[\Rightarrow \]            \[x=65\] Hence, speed of train \[=\frac{65+122}{{}}17=\frac{187}{17}\] \[=\frac{11\times 18}{5}=39.6\,km/h\]


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