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e correct answerThe 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 : 315 : 3 : 55 : 3 : 1

Question

e correct answerThe 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 : 315 : 3 : 55 : 3 : 1

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Solution

The ratio of the speeds of the three cars is given as 1:3:5.

The time taken to cover the same distance is inversely proportional to the speed. 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 we take the inverse of the speed ratio, we get the time ratio.

The inverse of 1:3:5 is 1/1 : 1/3 : 1/5.

To make it easier to understand, we can find the least common multiple of the denominators (1, 3, and 5), which is 15, and multiply each term by this number.

So, 1/1 * 15 : 1/3 * 15 : 1/5 * 15 becomes 15 : 5 : 3.

Therefore, the ratio of the time taken by these cars to travel the same distance is 15 : 5 : 3.

This problem has been solved

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