Railways R.R.C. (Delhi) Solved Paper Held on 1st Shift 23-11-2014

  • question_answer The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr, he takes 8 minutes to complete one round. What is the area (in square metres) of the park?

    A) \[15360\,\,{{m}^{2}}\]            

    B) \[153600\,\,{{m}^{2}}\]

    C) \[30720\,\,{{m}^{2}}\]            

    D) \[307200\,\,{{m}^{2}}\]

    Correct Answer: B

    Solution :

    Suppose length and breadth of a rectangular park is 3x and 2x respectively. Then,    \[2\,\,(3x+2x)=12\times \frac{5}{18}\times 8\times 60\] \[10x=1600\] \[x=160\] Now, area of the park\[=6{{x}^{2}}\] \[=6\times {{(160)}^{2}}\] \[=153600\,\,{{m}^{2}}\]

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