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

  • question_answer
    A man travels some distance at a speed of 12 km/h and returns at a speed of 9 km/h. If the total time taken by him is 2 h 20 min, the distance is [SSC CGL Tier II, 2017]

    A) 35 km

    B) 21 km

    C) 9 km

    D) 12 km

    Correct Answer: D

    Solution :

    [d] Let total distance covered by man = d and time = 2 h 20 min \[\because \] According to the question, \[\frac{d}{12}+\frac{d}{9}=\frac{7}{3}\]\[\Rightarrow \]\[\frac{3d+4d}{36}=\frac{7}{3}\] \[\Rightarrow \]            \[\frac{7d}{36}=\frac{7}{3}\] \[\Rightarrow \]            \[d=\frac{7\times 36}{3\times 7}=12\,km\] Hence, distance covered by man \[=12\,km\]


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