QUESTION

CSAT

Hard

Maths

Prelims 2018

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 $30^\circ$ 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?

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Explanation

time travel is the same for both A and B Distance travelled by A = $π \times r$ Distance travelled by B = $(π \times r) - (π \times r)/6 =$ \frac{5πr}{6} $Speed is the same for both , so the ratio of the speed of A and B =$ 6:5$