(A) Let the length of Train $B$ be $x \text{ m}$.Then the length of Train $A$ is $\frac{x}{2} \text{ m}$.Time taken by Train $A$ = $25 \text{ seconds}

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(A) Let the length of Train $B$ be $x \text{ m}$.Then the length of Train $A$ is $\frac{x}{2} \text{ m}$.Time taken by Train $A$ = $25 \text{ seconds}$.Time taken by Train $B$ = $1 \text{ minute } 15 \text{ seconds} = 60 + 15 = 75 \text{ seconds}$.Speed of Train $A$ = $\frac{\text{Distance}}{\text{Time}} = \frac{x/2}{25} = \frac{x}{50} \text{ m/s}$.Speed of Train $B$ = $\frac{\text{Distance}}{\text{Time}} = \frac{x}{75} \text{ m/s}$.Ratio of speed of Train $A$ to Train $B$ = $\frac{x/50}{x/75} = \frac{75}{50} = \frac{3}{2} = 3:2$.

Competitive Quantitative Aptitude Time and Distances Time and Distances

Medium

Train $A$ crosses a pole in $25 \text{ seconds}$ and another Train $B$ crosses a pole in $1 \text{ minute}$ and $15 \text{ seconds}$. The length of Train $A$ is half the length of Train $B$. What is the respective ratio between the speeds of Train $A$ and Train $B$?

A
$3:2$
B
$3:4$
C
$4:3$
D
Cannot be determined

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Time and Distances

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Time and Distances

The distance between two cities $A$ and $B$ is $330 \, km$. $A$ train starts from $A$ at $8 \, a.m.$ and travels towards $B$ at $60 \, km/hr$. Another train starts from $B$ at $9 \, a.m.$ and travels towards $A$ at $75 \, km/hr$. At what time do they meet?

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$A$ student walks from his house at a speed of $2 \frac{1}{2} \text{ km/h}$ and reaches his school $6 \text{ min}$ late. The next day,he increases his speed by $1 \text{ km/h}$ and reaches $6 \text{ min}$ before school time. How far is the school from his house? (in $\text{km}$)

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Two friends started for a place,one by motorcycle and the other by train. The speed of the motorcycle is $30 \, km/h$ and that of the train is $24 \, km/h$. The first one takes $6 \, hr \, 12 \, min$ to reach the destination. Find the time taken by the second one to reach the destination (in $hr$).

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$A$ is faster than $B$. $A$ and $B$ each walk $24 \, km$. The sum of their speeds is $7 \, km/hr$,and the sum of the time taken by them is $14 \, hours$. Then $A$'s speed is equal to (in $km/hr$)

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$A$ train leaves station $A$ at $7 \, am$ and reaches station $B$ at $11 \, am$. Another train leaves station $B$ at $8 \, am$ and reaches station $A$ at $11.30 \, am$. At what time do the two trains cross each other?

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Train $A$ crosses a pole in $25 \text{ seconds}$ and another Train $B$ crosses a pole in $1 \text{ minute}$ and $15 \text{ seconds}$. The length of Train $A$ is half the length of Train $B$. What is the respective ratio between the speeds of Train $A$ and Train $B$?

Similar Questions

The distance between two cities $A$ and $B$ is $330 \, km$. $A$ train starts from $A$ at $8 \, a.m.$ and travels towards $B$ at $60 \, km/hr$. Another train starts from $B$ at $9 \, a.m.$ and travels towards $A$ at $75 \, km/hr$. At what time do they meet?

$A$ student walks from his house at a speed of $2 \frac{1}{2} \text{ km/h}$ and reaches his school $6 \text{ min}$ late. The next day,he increases his speed by $1 \text{ km/h}$ and reaches $6 \text{ min}$ before school time. How far is the school from his house? (in $\text{km}$)

Two friends started for a place,one by motorcycle and the other by train. The speed of the motorcycle is $30 \, km/h$ and that of the train is $24 \, km/h$. The first one takes $6 \, hr \, 12 \, min$ to reach the destination. Find the time taken by the second one to reach the destination (in $hr$).

$A$ is faster than $B$. $A$ and $B$ each walk $24 \, km$. The sum of their speeds is $7 \, km/hr$,and the sum of the time taken by them is $14 \, hours$. Then $A$'s speed is equal to (in $km/hr$)

$A$ train leaves station $A$ at $7 \, am$ and reaches station $B$ at $11 \, am$. Another train leaves station $B$ at $8 \, am$ and reaches station $A$ at $11.30 \, am$. At what time do the two trains cross each other?

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