In a race of $300 \text{ m}$,$A$ beats $B$ by $15 \text{ m}$ or $5 \text{ s}$. $A$'s time over the course is:

In a game,$A$ can give $B$ $20$ points,$A$ can give $C$ $32$ points,and $B$ can give $C$ $15$ points. How many points make the game?

$A$ 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 game,$A$ can give $B$ $25$ points in $75$ and $C$ $18$ points in $90$. How many points can $C$ give $B$ in a game of $120$?

$A$ can run $500 \ m$ in $30$ seconds and $B$ in $35$ seconds. How many meters start can $A$ give to $B$ in a $1 \ km$ race so that the race may end in a dead-heat?

Two boys,$A$ and $B$,run at $4.5 \text{ km/h}$ and $6 \text{ km/h}$ respectively. $A$ is given a head start of $190 \text{ m}$. If the total course length is $1 \text{ km}$,by what distance (in $\text{m}$) does $B$ win?