An athlete running at 24 km /hr crosses a square field diagonally in 3 minutes. what is the area of the field?

A 500,000 m2
B 480,000m2
C 640,000m2
D 720,000m2

Correct Answer: 720,000m2

Speed = 24 km/hr Time = 3 min = 3/60 hr = 1/20 hr Diagonal length of the field = 24 x 1/20 = 1.2 km = 1200 m Side of the square field = 1200/√2 = 848.53 m [Diagonal of square = √2 x side length]   So, area of the field = 848.532 m2 ≈ 720000 m2
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