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 $m$):

$A$ 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 $1000 \, m$ race,$A$ can beat $B$ by $80 \, m$ and $B$ can beat $C$ by $60 \, m$. In the same race,$A$ can beat $C$ by (in $m$):

$A$ 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 race of $200\,m$,$A$ can beat $B$ by $31\,m$ and $C$ by $18\,m$. In a race of $280\,m$,$C$ will beat $B$ by (in $m$):

$A$ 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 $km/h$):