$A$ and $B$ take part in a $100\, m$ race. $A$ runs at $5\, km/h$. $A$ gives $B$ a start of $8\, m$ and still beats him by $8\, s$. The speed of $B$ is (in $km/h$):

In a race of $600\, m$,$A$ can beat $B$ by $60\, m$ and in a race of $500\, m$,$B$ can beat $C$ by $50\, m$. By how many $m$ will $A$ beat $C$ in a race of $400\, m$?

$A$ and $B$ run a $5\, km$ race on a round course of $400\, m$. If their speeds are in the ratio $5:4$,how often does the winner pass the other?

In a $500\, m$ race,the ratio of the speeds of two contestants $A$ and $B$ is $4:5$. $A$ has a start of $140\, m$. Then $A$ wins by (in $m$):

$A$'s speed is $1 \frac{1}{2}$ times of $B$'s speed. In a race,$A$ gives $B$ a start of $300 \, m$. How long should the race course be so that both reach the winning post simultaneously? (in $m$)

At a game of billiards,$A$ can give $B$ $6$ points in $50$ and he can give $C$ $13$ points in $65$. In a game of $55$ points,how many points can $B$ give $C$?