A and B are standing on the circumference of circle of radius 3m subtending an angle of 60Â at - Maths - Pair of Linear Equations in Two Variables

Question

A and B are standing on the circumference of circle of radius 3m
subtending an angle of 60Â° at
centre Initially , such that B is ahead of A If they start moving
at the same time then find after what time they will meet if they
are moving in clockwise ditrections with their speed 7m/s and 5m/s
respectively

Ajanta Trivedi · Accepted Answer

the radius of the circle r = 3 m since A and B subtend 60 deg at the center circular distance between A and B = $\frac{2 π r}{360} * 60 = \frac{π * 3}{3} = π m$ speed of A = 7 m/sec and speed of B = 5m/sec and B is ahead of A so the distance covered by A is Ï€ m more than the distance covered by B let they meet after t sec distance = speed * time $7 t = 5 t + π 2 t = π \Rightarrow t = \frac{π}{2} \sec = \frac{22}{7 * 2} = \frac{11}{7} \sec$ thus they will meet after 11/7 sec hope this helps you cheers!!