Two swimmers start a race. One who reaches the point $C$ first on the other bank wins the race. $A$ makes his strokes in a direction of $37^{o}$ to the river flow with velocity $5\ km/hr$ relative to water. $B$ make his strokes in a direction $127^{o}$ to the river flow with same relative velocity. River is flowing with speed of $2\ km/hr$ and is $100\ m$ wide. speeds of $A$ and $B$ on the ground are $8 \ km/hr$ and $6 \ km/hr$ respectively .
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