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

  • question_answer
    A train travelling with constant speed crosses a 96 m long platform in 12 s and another 141 m long platform in 15 s. The length of the train and its speed are

    A) 64 m, 44 km/h

    B) 64 m, 54 km/h

    C) 84 m, 54 km/h

    D) 84 m, 60 km/h

    Correct Answer: C

    Solution :

    [c] Let the length of the train be x m. \[\frac{(96+x)}{12}=\frac{(141+x)}{15}\] \[\Rightarrow \]            \[15\times (96+x)\,=12\times (141+x)\] \[\Rightarrow \]            \[3x=(1692-144)=252\] \[\Rightarrow \]            \[x=84\,m\] Speed of the train\[=\frac{(96+84)}{12}m/s\] \[=15\,m/s\] \[=\left( 15\times \frac{18}{5} \right)\,\,km/h=54\,km/h\]


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