Question : The ratio of speed of the three racers is 5 : 2 : 1. What is the respective ratio of time taken by the three racers to cover the same distance?
Option 1: 2 : 5 : 10
Option 2: 2 : 5 : 8
Option 3: 5 : 2 : 10
Option 4: 2 : 5 : 3
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Correct Answer: 2 : 5 : 10
Solution : Given: The ratio of the speed of the three racers is 5 : 2 : 1. Let $y$ km be the distance to be travelled, and the three racers' speeds are $5x,2x,$ and $x$. We know the formula, Time = $\frac{\text{Distance}}{\text{Speed}}$ Time taken by the first racer= $\frac{y}{5x}$ Time taken by the second racer = $\frac{y}{2x}$ Time taken by the third racer = $\frac{y}{x}$ The respective ratio of time taken by the three racers to cover the same distance = $\frac{y}{5x}: \frac{y}{2x}: \frac{y}{x}=2:5:10$ Hence, the correct answer is 2 : 5 : 10.
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Question : The three racers' speed ratio is 3 : 2 : 4. What is the respective ratio of time taken by the three racers to cover the same distance?
Option 1: 6 : 8 : 9
Option 2: 4 : 8 : 5
Option 3: 10 : 8 : 3
Option 4: 4 : 6 : 3
Question : The ratio of the speed of Aman, Kamal, and Manan is 2 : 3 : 4 respectively. What is the ratio of the time taken by Aman, Kamal, and Manan respectively to cover the same distance?
Option 1: 4 : 3 : 2
Option 2: 2 : 3 : 4
Option 3: 6 : 4 : 3
Option 4: 8 : 9 : 16
Question : A train covers a certain distance in 210 minutes at a speed of 60 km/hr. The time taken by the train, to cover the same distance at a speed of 80 km/hr is:
Option 1: $3\frac{5}{8}\ \text{hours}$
Option 2: $2\frac{5}{8}\ \text{hours}$
Option 3: $4\frac{5}{8}\ \text{hours}$
Option 4: $3\ \text{hours}$
Question : The speeds of the three cars are in the ratio of 1 : 3 : 5. The ratio among the time taken by these cars to travel the same distance is _____.
Option 1: 3 : 5 : 15
Option 2: 15 : 3 : 5
Option 3: 15 : 5 : 3
Option 4: 5 : 3 : 1
Question : The speeds of the three cars are in the ratio of 1 : 3 : 5. The ratio of the time taken by these cars to travel the same distance is:
Option 4: 5 : 3 : 15
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