Question

Consider a square track ABCD. A circular track EPHQ is inscribed in the above square track, while a hexagonal track EFGHIJ is inscribed in the above circle and track EGI is a triangular path inscribed inside the hexagonal track. All figures are regular.
Four runners W, X, Y and Z start running simultaneously from point E on square, circular, hexagonal and triangular tracks respectively, but W and Y in clockwise direction and X and Z in anti-clockwise direction and they all meet for the first time when W,X,Y and Z have completed 1, 2, 3 and 4 rounds respectively. What is the ratio of their speeds?

• A. $2:\pi :4:3\sqrt{3}$
• B. $1:2\pi :9:4\sqrt{3}$
• C. $4:2\pi :9:6\sqrt{3}$
• D. $4:4\pi :9:12\sqrt{3}$

Answer 1

The correct option is C $4:2\pi :9:6\sqrt{3}$

The correct answer is option (c). Check the video for the approach.