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SSC Sample Paper SSC CGL - Sample Paper-17

  • question_answer
    A train travelling at 48 km/h crosses another train, having half its length and travelling in opposite direction at 42 km/h, in 12 s. It also passes a railway platform in 45 s. The length of railway platform is

    A) 200 m              

    B) 300 m

    C) 350 m              

    D) 400 m

    Correct Answer: D

    Solution :

    Let the length of the train travelling at 48 km/h be x m Let the length of the platform be y m. Relative speed of train             \[=(48+42)\,\text{km/h}\]             \[=\frac{90\times 5}{18}\text{m/s}\]             \[=25\,\text{m/s}\] and 48 km\[=\frac{48\times 5}{18}=\frac{40}{3}\text{m/s}\] According to the question,             \[\frac{x+\frac{x}{2}}{25}=12\] \[\Rightarrow \]   \[\frac{3x}{2\times 25}=12\] \[\Rightarrow \]   \[3x=2\times 12\times 25=600\] \[\Rightarrow \]   \[x=200\,m\] Case II             \[\frac{200+y}{40/3}=45\] \[\Rightarrow \]   \[600+3y=40\times 45\] \[\Rightarrow \]   \[3y=1800-600=1200\] \[\Rightarrow \]   \[y=\frac{1200}{3}=400\,\,m\]


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