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