SSC Sample Paper SSC CGL - Sample Paper-13

  • question_answer
    A bus moving at a speed of 45 km/h overtakes a truck 150 m ahead going in the same direction in 30 s. The speed of the truck is

    A) 27 km/h

    B) 24 km/h

    C) 25 km/h            

    D) 28 km/h

    Correct Answer: A

    Solution :

    Let the speed of the truck = x km/h Relative speed of the bus \[=(45-x)km/h\] \[\therefore \]      \[\text{Time}=\frac{\text{Distance}}{\text{Relative speed}}\] \[\Rightarrow \]   \[\frac{30}{60\times 60}=\frac{\frac{500}{1000}}{(45-x)}\] \[\Rightarrow \]   \[\frac{1}{120}=\frac{15}{100(45-x)}\] \[\Rightarrow \]   \[\frac{1}{6}=\frac{3}{(45-x)}\] \[\Rightarrow \]   \[(45-x)=18\] \[\Rightarrow \]   \[x=45-18\]             \[=27\,km/h\]    

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