Question

The speeds of three cars are in the ratio $4:3:2$. What is the ratio between the times taken by the cars to cover the same distance?

• A. $2:3:4$
• B. $3:4:6$
• C. $1:2:3$
• D. $4:3:2$

Answer 1

The correct option is B $3:4:6$

Speed of three cars are in the ratio $4:3:2$.

When distance is constant, the time is inversely proportional to the speed.
Therefore, time ratio $=\frac{1}{4}:\frac{1}{3}:\frac{1}{2}$

$\text{L.C.M.}=12$
$=3:4:6$

Therefore, the ratio between the time taken by the cars to cover the same distance is $3:4:6$.