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NTSE Sample Paper NTSE SAT Practice Test-6

  • question_answer
    If a train takes 1.75 sec. to cross a telegraph post and 1.5 sec. to overtake a cyclist racing along a road parallel to the track at 10 metre per second, then the length of the train is

    A) 135 m              

    B) 125 m

    C) 115 m              

    D) 105 m

    Correct Answer: D

    Solution :

    [d] Length of the train \[=x\] metres \[\therefore \] Speed of the train \[=\frac{x}{1.75}\] m.p.sec. Speed of the train relative to speed of the cyclist \[=\left( \frac{x}{1.75}-10 \right)\]m.p. sec \[\therefore \,\,\,1.5=\frac{x}{\left( \frac{x}{1.75}-10 \right)}\Rightarrow x=105\,\,m\]


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