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

  • question_answer
    Two trains, of same length are running to parallel tracks in the same direction with speed 60 km/h and 90 km/h, respectively. The latter completely crosses the former in 30 s. The length of each train (in m) is

    A) 100

    B) 115

    C) 125

    D) 150

    Correct Answer: C

    Solution :

    [c] Let the length of both the trains be x m. Then, relative speed of the trains \[=90-60=30\,km/h\] \[=30\times \frac{5}{18}=\frac{25}{3}\,m/s\] Now, using speed\[\text{Speed=}\frac{\text{Distance}}{\text{Time}}\] \[\text{=}\frac{25}{3}=\frac{2x}{3}\] \[\therefore \]    \[x=125\,m\]


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