Question

A cat takes 3 leaps for every four leaps of a rabbit. If one leap of the cat is equal to 2 leaps of the rabbit, the ratio of the speed of the cat to that of the rabbit is? ​

Answer 1

Given:

A cat takes $3$ leaps for every $4$ leap of rabbit

$1$ leap of cat = $2$ leaps of rabbit

To find:

Ratio of speed of the cat to that of rabbit

Step-by-step explanation:

Let us consider $1$ cat = $2$ rabbit

$\frac{Cat}{Rabbit}$ = $\frac{2}{1}$

So, Cat's $1$ leap = $2$ m

Rabbit's $1$ leap = $1$ m

Therefore, ratio of speed of cat and rabbit = $\frac{2}{1}$ × $\frac{3}{4}$ = $\frac{3}{2}$

Answer:  

Speed of cat : Speed of rabbit = $3$ : $2$