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

  • question_answer
    A train 100 m in length passes a milestone in 10 s and another train of the same length travelling in opposite direction in 8 s. The speed of the second train is

    A) 36 km/h

    B) 48 km/h

    C) 54 km/h

    D) 60 km/h

    Correct Answer: C

    Solution :

    [c] Speed of the first train\[=\left( \frac{100}{10} \right)\,m/s=10\,m/s\] Let the speed of the second train be x m/s. Relative speed\[=(10+x)\,m/s.\] \[\frac{200}{(10+x)}=8\] \[\Rightarrow \]            \[8\,(10+x)=200\] \[\Rightarrow \]            \[8x=120\] \[\Rightarrow \]            \[x=15\] Speed of the second train \[=15\,m/s\] \[=\left( 15\times \frac{18}{5} \right)\,km/h=54\,km/h.\]


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