Question

Two persons, A and B are running on a circular track. At the start, B is ahead of A and their positions make an angle of 30° at the centre of the circle. When A reaches the point diametrically opposite to his starting point, he meets B. What is the ratio of speeds of A and B, if they are running with uniform speeds?

(a) 6:5

(b) 4:3

(c) 6:1

(d) 4:2

Answer 1

Correct option is (a) 6:5

B is 30° head to A

Total angle covered by A = 180°

Total angle covered by B = 180° - 30° = 150°

Required ratio = 180° : 150° = 6:5