A man walking at 3 km/hr. crosses a square field diagonally in 2 minutes. What is the area of the field.
A. 2500 meter square
B. 6000 meter square
C. 3000 meter square
D. 5000 meter square
Answer: Option D
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Speed = 3 kmph = (3 * 5)/18 = 0.83 m/sec
Time = 2 minutes = 120 sec
Distance covered in 120 seconds = 120 * 0.83 = 100 m.
Length of the diagonal = 100
Sq rt 2 * side = 100
Side = 70.92 m
Area = Side * side = 70.92 * 70.92 = 5000 meter square (approx).