Building A and Building B are placed at a distance of D m. A person is standing in between Building A and Building B. The angle of elevation made by the person to the top of the Building A is 45^∘ and the angle of elevation made by the person to the top of the Building B is 60^∘. If the height of both Buildings are equal and it is equal to \(\frac{100\sqrt 3}{1 + \sqrt 3}\) m. then find the time taken by the boy to cover the distance D as he is walking with a speed of 10 \(\frac{\text {m}}{\text {sec}}\).