Question
CSATHardPrelims 2018Maths

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 3030^\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?

Explanation

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

Maths PYQs from 2018

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