Question : The speeds of the three cars are in the ratio of 1 : 3 : 5. The ratio among the time taken by these cars to travel the same distance is _____.
Option 1: 3 : 5 : 15
Option 2: 15 : 3 : 5
Option 3: 15 : 5 : 3
Option 4: 5 : 3 : 1
Correct Answer: 15 : 5 : 3
Solution :
We know, $\text{Time} \propto \frac{1}{\text{Speed}}$
Required ratio of time = $1:\frac{1}{3}:\frac{1}{5}$
L.C.M. of 1, 3, and 5 is 15.
= $1 × 15 : \frac{1}{3}×15:\frac{1}{5}×15$
= $15 : 5 : 3$
Hence, the correct answer is 15 : 5 : 3.
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