Question : Three cars travelled a 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:
Option 1: 3 : 9 : 1
Option 2: 1 : 3 : 9
Option 3: 1 : 2 : 4
Option 4: 4 : 3 : 2
Correct Answer: 1 : 3 : 9
Solution :
The ratio of distance = 1 : 2 : 3
The ratio of the time of travel = 3 : 2 : 1
As speed = $\frac{\text{distance}}{\text{time}}$,
$\therefore$ Ratio of speed = $\frac{1}{3}:\frac{2}{2}:\frac{3}{1} = 1 : 3 : 9$
Hence, the correct answer is 1 : 3 : 9.
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