Three 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?Options4 : 3 : 21 : 3 : 93 : 9 : 11 : 2 : 4
Question
Three 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?Options4 : 3 : 21 : 3 : 93 : 9 : 11 : 2 : 4
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, we are given the ratios of the distances and times for three cars.
The ratio of the distances is 1:2:3 and the ratio of the times is 3:2:1.
To find the ratio of their speeds, we divide the ratio of the distances by the ratio of the times.
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 simplify this ratio, we can multiply each term by 3 to get rid of the fraction.
This gives us a final speed ratio of 1 : 3 : 9.
So, the correct option is 1 : 3 : 9.
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