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hree cars travelled distance in the ratio 1 : 2 : 3. If the ratio of the time of travel is 3 : 2 : 1, then the ratio of their speed is?Options3 : 9 : 11 : 3 : 91 : 2 : 44 : 3 : 2

Question

hree cars travelled distance in the ratio 1 : 2 : 3. If the ratio of the time of travel is 3 : 2 : 1, then the ratio of their speed is?Options3 : 9 : 11 : 3 : 91 : 2 : 44 : 3 : 2

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Solution

The speed of an object is determined by the distance it travels divided by the time it takes to travel that distance. In this case, the ratio of the distances the cars travel is 1:2:3 and the ratio of the times they take is 3:2:1.

To find the ratio of their speeds, we divide the ratio of each car's distance by the ratio of its time.

For the first car, the speed ratio is 1/3. For the second car, the speed ratio is 2/2 = 1. For the third car, the speed ratio is 3/1 = 3.

So, the ratio of their speeds is 1/3 : 1 : 3.

However, to make it easier to compare, we can multiply each term by 3 to get rid of the fraction:

1 : 3 : 9.

So, the ratio of their speeds is 1:3:9.

This problem has been solved

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