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?
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?
Solution 1
The ratio of speed can be determined by the formula:
Speed = Distance / Time
Given that the ratio of distance is 1:2:3 and the ratio of time is 3:2:1, we can find the ratio of speed for each car by dividing the distance ratio by the time ratio.
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.
Therefore, the ratio of their speed is 1:1:3.
Solution 2
The ratio of speed can be calculated using the formula:
Speed = Distance / Time
Given that the ratio of distance is 1:2:3 and the ratio of time is 3:2:1, we can calculate the speed ratio for each car as follows:
Speed of Car 1 = Distance of Car 1 / Time of Car 1 = 1/3 Speed of Car 2 = Distance of Car 2 / Time of Car 2 = 2/2 = 1 Speed of Car 3 = Distance of Car 3 / Time of Car 3 = 3/1 = 3
Therefore, the ratio of their speeds is 1/3 : 1 : 3.
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