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SSC Sample Paper Mock Test-18 SSC CGL Tear-II Paper-1

  • question_answer
    Starting from his house one day, a student walks at a speed of \[2\frac{1}{2}\text{km/h}\] 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)  \[1\frac{1}{2}\text{km}\]

    C)  \[1\]km

    D)  \[1\frac{3}{4}\text{km}\]

    Correct Answer: D

    Solution :

    Let the required distance be x km
    Difference of time \[=6+6=12\] min\[=\frac{12}{60}=\frac{1}{5}\text{h}\]
    According to the question,
    \[\frac{x}{5}-\frac{x}{7}=\frac{1}{5}\]
    \[\Rightarrow \]   \[\frac{2x}{5}-\frac{2x}{7}=\frac{1}{5}\]
    \[\Rightarrow \]   \[\frac{14x-10x}{35}=\frac{1}{5}\]
    \[\Rightarrow \]   \[\frac{4x}{35}=\frac{1}{5}\]
    \[\Rightarrow \]   \[x=\frac{35}{4\times 5}=\frac{7}{4}=1\frac{3}{4}\,\,\text{km}\]


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