Question

Choose the correct answer from the alternatives given.
Three cars travelled distances in the ratio $1:2:3$. If the ratio of the time of travel is $3:2:1$. then the ratio of their speeds is

• A. $3:9:1$
• B. $1:3:9$
• C. $1:2:4$
• D. $4:3:2$

Answer 1

The correct option is B $1:3:9$

Required ratio= $\frac{1}{3}:\frac{2}{2}:\frac{3}{1}=\frac{1}{3}:1:3$
LCM of(3& 1)=3
= $\frac{1}{3}\times 3:1\times 3:3\times 3$ [$Speed=\frac{Distance}{Time}$]
=$1:3:9$