Question

The Speeds Of Three Cars Are In The Ratio $2:3:4$. What Is The Ratio Between The Times Taken By These Cars To Travel The Same Distance?

Answer 1

Speed is always inversely proportional to time,

$s\alpha \frac{1}{t}$

Therefore, the ratio of time taken =

$\frac{1}{2}:\frac{1}{3}:\frac{1}{4}$

Taking the L.C.M of $2$,$3$ and $4=2^2\times 3=12$

$$\begin{gathered} =\frac{1}{2}\times 12:\frac{1}{3}\times 12:\frac{1}{4}\times 12 \\ =6:4:3 \end{gathered}$$

Therefore, the ratio between the times taken by these cars to travel the same distance is $6:4:3$.