Railways Quantitative Aptitude Basic Calculations Sample Paper Square Roots & Cube Roots Sample Test Paper-5

  • question_answer
    Area of a square field is 22500\[{{m}^{2}}\]. A man cycles along its boundary at 15 km/hr. The time will be taken by a man to return to starting point, is

    A)  2 min 24 sec.   

    B)  3 min 12 sec.

    C)  4 min. 

    D)  None of these.

    Correct Answer: A

    Solution :

    [a] Let the side of square field = ?a? m \[\therefore \,\] Area of square field \[{{a}^{2}}\,\,sq.m\] \[{{a}^{2}}=22500\,\,{{m}^{2}}\] \[\Rightarrow \] \[a=150\,\,m\] Speed of cycling = 15 km / hr. \[=\frac{15\times 1000}{60\times 60}=\frac{25}{6}m/s.\] Now, total distance to be covered along the boundary             \[=4\times 150=600\,\,m\] \[\because \,\,\frac{25}{6}m\] is covered in 1 sec. \[\therefore \,\]600 m is covered in \[\frac{600}{25}\times 6=144\,\sec \] \[=2\,\,\min \,\,24\,\,\sec .\]


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