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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