$A$ 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 $m$)

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 $C$?

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 $B$ 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 $1\, km$ race, $A$ beats $B$ by $25\, m$ or $5\, s$. Find the time taken by $A$ to complete the race.

$A$ and $B$ run a $1 \, km$ race. If $A$ gives $B$ a start of $50 \, m$,$A$ wins by $14 \, sec$. If $A$ gives $B$ a start of $22 \, sec$,$B$ wins by $20 \, m$. The time taken by $A$ to run a $1 \, km$ is (in $sec$):