Men are running in a line along a road with velocity 9 km/hr behind one another at equal distances of 20 m . Cyclists are also riding along the same line in the same direction at 18 km/hr at equal intervals of 30 m. The speed with which an observer must travel along the road in opposite direction so that whenever he meets a runner he also meets a cyclist is

V is the velcoity of man.relative velocity of man and running person = v+2.5relative velocity of ma and cyclist = v+5let they meet after time T.v+2.5= 20Tv+5 = 30Tv+2.5v+5 = 233v+7.5 = 2v+10v = 2.5m/sspeed = 2.5 m/s

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