(A) $1$. Time taken by the motorcyclist to travel from Mumbai to Pune: $\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{192 \, km}{32 \, km

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(A) $1$. Time taken by the motorcyclist to travel from Mumbai to Pune: $\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{192 \, km}{32 \, km/h} = 6 \, hours$.$2$. The car starts $2.5 \, hours$ after the motorcyclist and reaches $0.5 \, hours$ earlier than the motorcyclist.$3$. Total time taken by the car: $6 \, hours - 2.5 \, hours - 0.5 \, hours = 3 \, hours$.$4$. Speed of the car: $\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{192 \, km}{3 \, hours} = 64 \, km/h$.$5$. Ratio of the speed of the motorcycle to the speed of the car: $\frac{32}{64} = \frac{1}{2}$,which is $1:2$.

Competitive Quantitative Aptitude Time and Distances Time and Distances

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$A$ motorcyclist travels from Mumbai to Pune,a distance of $192 \, km$,at an average speed of $32 \, km/h$. Another man starts from Mumbai by travelling in a car,$2 \frac{1}{2} \, hours$ after the motorcyclist and reaches Pune half an hour earlier. What is the ratio of the speeds of the motorcycle and the car?

A
$1:2$
B
$1:3$
C
$10:27$
D
$5:4$

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Time and Distances

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Time and Distances

If a train runs at $40 \text{ km/h}$,it reaches its destination late by $11 \text{ minutes}$,but if it runs at $50 \text{ km/h}$,it is late by $5 \text{ minutes}$ only. Find the correct time for the train to complete its journey (in minutes).

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

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$A$ person goes from point $A$ to $B$ with a speed of $55 \text{ km/hr}$ and returns with a speed of $65 \text{ km/hr}$. What is the average speed (in $\text{km/hr}$) of the person while going and coming back from $A$ to $B$?

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$A$ cyclist,after cycling a distance of $70 \,km$ on the second day,finds that the ratio of distance covered by him on the first two days is $4:5$. If he travels a distance of $42 \,km$ on the third day,then the ratio of distances travelled on the third day and the first day is:

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$A$ boy goes to his school from his house at a speed of $3 \, km/hr$ and returns at a speed of $2 \, km/hr$. If he takes $5 \, hours$ in total for the round trip,the distance between his house and school is (in $km$):

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If a train runs at $40 \text{ km/h}$,it reaches its destination late by $11 \text{ minutes}$,but if it runs at $50 \text{ km/h}$,it is late by $5 \text{ minutes}$ only. Find the correct time for the train to complete its journey (in minutes).

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$A$ cyclist,after cycling a distance of $70 \,km$ on the second day,finds that the ratio of distance covered by him on the first two days is $4:5$. If he travels a distance of $42 \,km$ on the third day,then the ratio of distances travelled on the third day and the first day is:

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