Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-28

  • question_answer
    The area of a square field is 24200 sq m. How long will a lady take to cross the field diagonally at the rate of 6.6 km/h?

    A)  3 min  

    B)  2 min

    C)  2.4 min

    D)  2 min 40 s

    Correct Answer: B

    Solution :

    Let ?a? m be the length of a side of the square field. Therefore, its area =\[{{a}^{2}}\]sq m               ?(i) the length of the diagonal ?d? of a square whose side is ?a? m \[=a\sqrt{2}\] From Eqs. (i) and (ii), we can deduce that the square of the diagonal \[={{d}^{2}}=2{{a}^{2}}\] \[\Rightarrow \]   \[d=\sqrt{(2}\times \,\,Area)\] \[=\sqrt{2\times 24200}\] \[=\sqrt{48400}=220\,\,m\] The time taken to cross a length of 220 m while travelling at 6.6 km/h is given by 220 m/6.6 km/h\[=\frac{(220\times 60)}{(6.6\times 1000)}\](converting 1km = 1000 m and 1 h = 60 min) = 2min

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