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SSC Quantitative Aptitude Speed, Time and Distance Question Bank Speed Time and Distance (II)

  • question_answer
    If a man walks at the rate of 5 km/h, he misses a train by 7 min. However if he walks at the rate of 6 km/h, he reaches the station 5 min before the arrival of the train. The distance covered by him to reach the station is [SSC CGL Tier II, 2015]

    A) 7 km    

    B) 6.25 km

    C) 4 km

    D) 6 km

    Correct Answer: D

    Solution :

    [d] Let the distance be S km. Then, according to the question, \[\frac{S}{5}-\frac{S}{6}=\frac{7+5}{60}\]\[\Rightarrow \]\[S\left( \frac{6-5}{30} \right)=\frac{12}{60}\]\[\Rightarrow \]\[S\left( \frac{1}{30} \right)=\frac{1}{5}\] \[\therefore \]                  \[S=\frac{30}{5}=6\,\text{km}\]


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