$(A)$ runs $25\, m$ in $5\, s$.$B$'s speed is $\frac{25\, m}{5\, s} = 5\, m/s$.$B$'s time to cover $1\, km$ $(1000\, m)$ is $\frac{1000\, m}{5\, m/s}

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$3\, \text{minutes } 15\, \text{seconds}$

$(A)$ runs $25\, m$ in $5\, s$.$B$'s speed is $\frac{25\, m}{5\, s} = 5\, m/s$.$B$'s time to cover $1\, km$ $(1000\, m)$ is $\frac{1000\, m}{5\, m/s} = 200\, s$.Since $A$ beats $B$ by $5\, s$, $A$ finishes the race $5\, s$ earlier than $B$.$A$'s time $= 200\, s - 5\, s = 195\, s$.$195\, s = 3\, \text{minutes } 15\, \text{seconds}$.

Competitive Quantitative Aptitude Races and Games Races and Games

Medium

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
$3\, \text{minutes } 15\, \text{seconds}$
B
$4\, \text{minutes } 20\, \text{seconds}$
C
$2\, \text{minutes } 30\, \text{seconds}$
D
$5\, \text{minutes } 10\, \text{seconds}$

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

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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?

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 game of $100$ points,$P$ can give $Q$ $10$ points and $R$ $28$ points. Then $Q$ can give $R$ (in points) how many points?

Four runners started running simultaneously from a point on a circular track. They took $200$ seconds,$300$ seconds,$360$ seconds,and $450$ seconds to complete one round. After how much time do they meet at the starting point for the first time? (in seconds)

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 $m$):

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