Discussion
The speed of Karan is 40 kmph and the speed of Arjun is 60 kmph. What is the ratio of time taken by each to cover the same distance?
Answer: A
The ratio of times is 3 : 2.
For a fixed distance, time is inversely proportional to speed, \(t = d/v\):
\[ \begin{aligned} t_K : t_A &= \frac{d}{40} : \frac{d}{60} \\ &= 60 : 40 = 3 : 2 \end{aligned} \]
Karan is slower, so he takes longer, and the ratio of their times is the reverse of the ratio of their speeds (40 : 60 = 2 : 3).
2 : 3 is the speed ratio itself, the usual slip. 1 : 2 matches neither. The data are sufficient, because the distance cancels out, so 'Insufficient data' is wrong.
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