In a race of $100\, m$,$A$ beats $B$ by $10\, m$ and $C$ by $20\, m$. In a race of $180\, m$,$B$ will beat $C$ by (in $m$):

In a $1000\, m$ race,$A$ beats $B$ by $100\, m$ and $C$ by $200\, m$. By how many meters can $B$ beat $C$ in a race of $1350\, m$?

In a game of $90$ points,$A$ can give $B$ $15$ points and $C$ $30$ points. How many points can $B$ give $C$ in a game of $100$ points?

$A$ runs $1 \frac{3}{8}$ times as fast as $B$. If $A$ gives $B$ a start of $120 \, m$ and they reach the goal at the same time,the goal is at a distance of (in $m$)

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 meters 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?