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SSC Sample Paper SSC CGL - Sample Paper-1

  • question_answer
    Starting from his house one day, a student walks at a speed \[2\frac{1}{2}\,\,km/h\] and reaches his school 6 min late. Next day at the same time, he increases his speed by 1 km/h and reaches the school 6 min early. How far is the school from his house?

    A)  2 km                           

    B)  \[1\frac{1}{2}\,\,km\]

    C)  1 km                           

    D)  \[1\frac{3}{4}\,\,km\]

    Correct Answer: D

    Solution :

    Let the required distance be x km. Difference of time             \[=6+6=12\,\,min\]             \[=\frac{12}{60}=\frac{1}{5}h\] According to the question,             \[\frac{x}{\frac{5}{2}}-\frac{x}{\frac{7}{2}}=\frac{1}{5}\] \[\Rightarrow \]   \[\frac{2x}{5}-\frac{2x}{7}=\frac{1}{5}\] \[\Rightarrow \]   \[\frac{14x-10x}{35}=\frac{1}{5}\] \[\Rightarrow \]   \[\frac{4x}{35}=\frac{1}{5}\] \[\Rightarrow \]   \[x=\frac{35}{4\times 5}=\frac{7}{4}=1\frac{1}{4}\,\,km\]


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