$(A)$ 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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Races and Games

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Races and Games

$A$'s speed is $1 \frac{1}{2}$ times of $B$'s speed. In a race,$A$ gives $B$ a start of $300 \, m$. How long should the race course be so that both reach the winning post simultaneously? (in $m$)

Easy

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$A$ 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?

Medium

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$A$ 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?

Medium

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In a game of $100$ points,$A$ can give $B$ $20$ points and $C$ $28$ points. The number of points $B$ can give $C$ in a game of $100$ points is:

Medium

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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 $400 \, m$?

Difficult

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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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$A$'s speed is $1 \frac{1}{2}$ times of $B$'s speed. In a race,$A$ gives $B$ a start of $300 \, m$. How long should the race course be so that both reach the winning post simultaneously? (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?

$A$ 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?

In a game of $100$ points,$A$ can give $B$ $20$ points and $C$ $28$ points. The number of points $B$ can give $C$ in a game of $100$ points is:

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 $400 \, m$?

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