Question : A certain distance is covered by a cyclist at a certain speed. If a jogger covers half the distance in double the time, the ratio of the speed of the jogger to that of the cyclist is:
Option 1: $1:4$
Option 2: $4:1$
Option 3: $1:2$
Option 4: $2:1$
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Correct Answer: $1:4$
Solution : Given: A certain distance is covered by a cyclist at a certain speed. If a jogger covers half the distance in double the time. We know the formula, $\text{Speed}=\frac{\text{Distance}}{\text{Time}}$ Let the cyclist travel at $x$ km/h and the distance to be covered takes $y$ hours. So, the cyclist covered $xy$ km. Jogger's distance travelled is $\frac{xy}{2}$ km. The time is $2y$ hours. The ratio of the speed of the jogger to that of the cyclist is $\frac{xy}{2\times 2y}:x$ or $1:4$ Hence, the correct answer is $1:4$
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Question : A boat takes half the time to move a certain distance downstream than upstream. The ratio of the speed of the boat in still water to that of the current is:
Option 1: $2:1$
Option 2: $1:2$
Option 3: $4:3$
Option 4: $3:1$
Question : A car covers a certain distance in 25 hours. If it reduces the speed by $\frac{1}{5}$th, the car covers 200 km less in that time. The speed of the car is:
Option 1: 60 km/hr
Option 2: 30 km/hr
Option 3: 40 km/hr
Option 4: 50 km/hr
Question : A truck covers a distance of 550 metres in one minute whereas a bus covers a distance of 33 km in $\frac{3}{4}$ hour. Then the ratio of their speeds is:
Option 1: 1 : 3
Option 2: 2 : 3
Option 3: 3 : 4
Option 4: 1 : 4
Question : A boat covers a certain distance against the stream in 9 hours 36 min and it covers the same distance along the stream in 6 hours. What is the ratio of the speed of the boat in still water to that of the stream?
Option 1: 13 : 3
Option 2: 9 : 2
Option 3: 11 : 6
Option 4: 8 : 5
Question : A covered a distance of 240 km at a certain speed. Had his speed been 8 km/hr less, then the time taken would have been one hour more for covering the same distance. How much time (in hours) will he take to cover a distance of 480 km at his original speed?
Option 1: 9
Option 2: 11
Option 3: 10
Option 4: 8
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