There is a point P on the circle. A and B started running in two constant different speeds. A in Clockwise and B in Anti-clockwise. First time 500 m in Clockwise from P then 400 Anti-clockwise. If B is yet to complete one round, What is the circumference of the circle?	Choose the correct option
A) 700 B) 800 C) 900 D) 1000 E) 1100
Let the speeds of A &amp; B be u and v resp. and let circumference be C.   Let their first meeting be after time t then ut+vt = C and ut = 500   ∴ vt = C−500 and u/v = 500/(C−500)   For their second meeting after time T, uT+vT = 2C and vT = 400   ∴ uT = 2C−400 and u/v = (2C−400 )/400   Hence 500/(C−500) = (2C−400) /400   Simplifying, 100000 = (C−200)(C−500) = C²−700C+100000 → C=700   700NSWER:700
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There is a point P on the circle. A and B started running in two constant different speeds. A in Clockwise and B in Anti-clockwise. First time 500 m in Clockwise from P then 400 Anti-clockwise. If B is yet to complete one round, What is the circumference of the circle?