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?

• A. $4:3:2$
• B. $2:3:4$
• C. $4:9:16$
• D. $6:4:3$

Answer 1

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

Speed is always inversely proportional to time,

i.e., s $\propto \frac{1}{t}$

$\therefore$ Ratio of times takes $=\frac{1}{2}:\frac{1}{3}:\frac{1}{4}$

$=\frac{1}{2}\times 12:\frac{1}{3}\times 12:\frac{1}{4}\times 12$

$=6:4:3$