A cat chases a rat. For every $5$ leaps of the rat , the cat takes $3$ leaps
**problem** A cat chases a rat. For every $5$ leaps of the rat , the cat takes $3$ leaps, but the $2$ leaps of the cat are the same as $3$ leaps of the rat. Compare the speeds of the cat and the rat
a)$4:5$
b)$12:13$
c)$16:15$
d)none of these
**solution**
clearly the $2$ leaps of the cat are the same as $3$ leaps of the rat
so let distance of rat leap be $x$
then distance of cat's leap =$ \frac {3x}{2} $
then speed ratio = $ \frac {4.5x}{5x} $
$ \frac {9}{10} $
Am I right $?$