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Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-35

  • question_answer
    A train, with a uniform speed, crosses a platform, 162 m long, in 18 s and another platform, 120 m long, in 15 s. The speed of the train is

    A)  14 km/h           

    B)  42 km/h

    C)  50.4 km/h        

    D)  67.2 km/h

    Correct Answer: C

    Solution :

    Let the length of the train be x m. \[\therefore \]\[\frac{x+162}{18}=\frac{x+120}{15}=\]speed of the train \[\Rightarrow \]   \[\frac{x+162}{6}=\frac{x+120}{5}\] \[\Rightarrow \]   \[6x+720=5x+810\] \[\Rightarrow \]   \[x=810-720=90\] \[\therefore \]      Speed of the train\[=\frac{90+162}{18}\,\,m/s\] \[=\frac{252}{18}\times \frac{18}{5}\,\,km/h\] = 50.4 km /h


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