The ratio of the speeds of A, B and C is 2 : 3 : 6 respectively. What is the ratio of the time taken by A, B and C respectively to cover the same distance?

Time $alpha frac{1}{ ext { Speed }}$

∴ Ratio of speeds = 2 : 3 : 6

$Rightarrow$ Ratio of time taken $=frac{1}{2}: frac{1}{3}: frac{1}{6}$

$=left(frac{1}{2} imes 6 ight):left(frac{1}{3} imes 6 ight):left(frac{1}{6} imes 6 ight)$

[LCM of 2,3 and $6=6]=3: 2: 1$