Question : The time taken to travel the same distance by three cars is in the ratio of 12:15:10. What is the ratio of the speeds of the three cars?
Option 1: 4 : 5 : 6
Option 2: 4 : 6 : 5
Option 3: 5 : 4 : 6
Option 4: 5 : 6 : 4
Correct Answer: 5 : 4 : 6
Solution :
The speeds of 3 cars in the ratio 12 : 15 : 10
We know that,
$\text{speed} \propto \frac{1}{\text{time}}$
Ratio of time of the three cars = $\frac{1}{12} ∶ \frac{1}{15} ∶ \frac{1}{10}$
= $\frac{5}{60} ∶ \frac{4}{60} ∶ \frac{6}{60}$
= 5 : 4 : 6
Hence, the correct answer is 5 : 4 : 6.
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