Question : The three racers' speed ratio is 3 : 2 : 4. What is the respective ratio of time taken by the three racers to cover the same distance?
Option 1: 6 : 8 : 9
Option 2: 4 : 8 : 5
Option 3: 10 : 8 : 3
Option 4: 4 : 6 : 3
Correct Answer: 4 : 6 : 3
Solution :
Given: The three racers' speed ratio is 3 : 2 : 4.
We know that time is inversely proportional to speed.
So, the respective ratio of time = $\frac{1}{3}:\frac{1}{2}:\frac{1}{4}$
= $\frac{12}{3}:\frac{12}{2}:\frac{12}{4}$ [Multiplying each ratio by 12]
= 4 : 6 : 3
Hence, the correct answer is 4 : 6 : 3.
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