(A) Initial distance between the dog and the cat $= 25$ dog leaps.In one minute, the dog makes $5$ leaps.In one minute, the cat makes $6$ leaps. Since

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(A) Initial distance between the dog and the cat $= 25$ dog leaps.In one minute, the dog makes $5$ leaps.In one minute, the cat makes $6$ leaps. Since $1$ dog leap $= 2$ cat leaps, $6$ cat leaps $= 3$ dog leaps.Therefore, the relative speed of the dog with respect to the cat $= 5 - 3 = 2$ dog leaps per minute.Time taken to catch the cat $= \frac{\text{Initial distance}}{\text{Relative speed}} = \frac{25}{2} = 12.5$ minutes.

Competitive Quantitative Aptitude Time and Distances Time and Distances

Easy

$A$ dog finds a cat at $25$ leaps away. The cat sees the dog coming towards it and starts running with the dog in hot pursuit. In every minute, the dog makes $5$ leaps and the cat makes $6$ leaps, and one leap of the dog is equal to $2$ leaps of the cat. Find the time in which the dog will catch the cat (in minutes).

A
$12.5$
B
$13$
C
$11.5$
D
$10.5$

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Time and Distances

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Time and Distances

$A$ person sets out to cover a distance of $12 \, km$ in $45 \, minutes$. If he covers $\frac{3}{4}$ of the distance in $\frac{2}{3}$ of the time,what should be his speed to cover the remaining distance in the remaining time? (in $km/h$)

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$A$ car travels $10\, m$ in $1$ second. Find its speed in $km/h$.

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$A$ and $B$ are two stations. $A$ train goes from $A$ to $B$ at $64 \text{ km/h}$ and returns to $A$ at a slower speed. If its average speed for the whole journey is $56 \text{ km/h}$,at what speed did it return? (in $\text{km/h}$)

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The bus fare for one person is $Rs. 420$ from Agra to Aligarh and the train fare between the same places for one person is equal to $\frac{3}{4}$ of the bus fare for $2$ persons between the same places. What is the total fare paid by $2$ persons traveling by bus and $4$ persons traveling by train between the two places? (in $Rs.$)

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Flight $A$ usually takes $1 \, \text{hour}$ more than Flight $B$ to travel a distance of $7200 \, \text{km}$. Due to engine trouble,the speed of Flight $B$ decreases by a factor of $\frac{1}{6}$,so it takes $36 \, \text{minutes}$ more than Flight $A$ to complete the same journey. What is the speed of Flight $A$ (in $\text{km/hr}$)?

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$A$ person sets out to cover a distance of $12 \, km$ in $45 \, minutes$. If he covers $\frac{3}{4}$ of the distance in $\frac{2}{3}$ of the time,what should be his speed to cover the remaining distance in the remaining time? (in $km/h$)

$A$ car travels $10\, m$ in $1$ second. Find its speed in $km/h$.

$A$ and $B$ are two stations. $A$ train goes from $A$ to $B$ at $64 \text{ km/h}$ and returns to $A$ at a slower speed. If its average speed for the whole journey is $56 \text{ km/h}$,at what speed did it return? (in $\text{km/h}$)

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