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

  • question_answer
    A man walking at 3 km/h crosses a square field diagonally in 2 min. The area of the field is

    A) \[2500\,{{m}^{2}}\]

    B) \[3000\,{{m}^{2}}\]

    C) \[5000\,{{m}^{2}}\]

    D) \[6000\,{{m}^{2}}\]

    Correct Answer: C

    Solution :

    [c] Speed \[=\left( 3\times \frac{5}{18} \right)\,m/s=\frac{5}{6}m/s\] Distance covered in 2 min             \[=\left( \frac{5}{6}\times 2\times 60 \right)\,m=100\,m\] Length of diagonal of the square field \[=100\,m\] Area      \[=\frac{1}{2}\times {{(\text{Diagonal)}}^{2}}\]             \[=\left( \frac{1}{2}\times 100\times 100 \right)\,{{m}^{2}}\]                           \[=5000\,{{m}^{2}}\]


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