The speeds of 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?Options3 : 5 : 1515 : 5 : 35 : 3 : 115 : 3 : 5
Question
The speeds of 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?Options3 : 5 : 1515 : 5 : 35 : 3 : 115 : 3 : 5
Solution
The ratio of the speeds of the three cars is given as 1:3:5.
We know that speed is inversely proportional to time taken to cover the same distance. This means that if a car is faster, it will take less time to cover the same distance, and if a car is slower, it will take more time.
So, if the speed ratio is 1:3:5, the time ratio will be the inverse of the speed ratio.
To find the inverse of a ratio, we simply flip the ratio. So, the inverse of 1:3:5 is 5:3:1.
Therefore, the ratio of the time taken by the cars to travel the same distance is 5:3:1.
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