Railways Quantitative Aptitude Trains Sample Paper Trains Sample Test Paper-13

  • question_answer
    A running train crosses a stationary pole in 4 seconds and a platform 75 m long in 9 seconds. The speed of the train and its length is

    A)  42 m, 15 m/s

    B)  50 m, 15 m/s

    C)  60 m, 15 m/sec

    D)  45 m, 10 m/s

    Correct Answer: C

    Solution :

    [c] Let the length of train be ?x? m Speed of train be ?y? m/sec. \[\text{Given}\,\,\text{speed=}\frac{\text{distance}}{\text{time}}\] \[y=\frac{x}{4}\]                                   ? (1) and \[y=\frac{x+75}{9}\]                      ? (2) From (1) and (2) \[\frac{x}{4}=\frac{x+75}{9}\] \[\Rightarrow \] \[9x=4x+300\] \[\Rightarrow \] \[x=60\,m\] \[\therefore \] \[y=\frac{60}{4}=15\,m/\sec \]


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