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in Mathematics by (144k points)

There are eight equidistant points 'A', 'B', 'C', 'D', 'E', 'F', 'G', and 'H' in the clockwise direction on the periphery of a circle. In a time interval t, a person reaches from' A' to 'C' with uniform motion while another person reaches the point 'E' from the point 'B' during the same time interval with uniform motion. Both the persons move in the same direction along the circumference of the circle and start at the same instant. How much time after the start, will the two persons meet each other? 

(a) 4t (b) 7t (c) 9t (d) Never

1 Answer

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Let distance between each point be x. Also, let speed of persons from point A and B be u and v respectively. Distance between A to C = 2x = ut

Relative speed of person from B with respect toA

Distance between A and B = 7x

∴  Persons will meet after time= 7x/(x/t) =7t

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