A rabit takes 22 leaps for every 17 leaps of a cat and 22 leaps of a rabit are equal

Ques - A rabit takes 22 leaps for every 17 leaps of a cat and 22 leaps of a rabit are equal to 17 leaps of the cat. What is the ratio of the speeds of rabbit and cat ? 

(a) 1 : 1

(b) 484 : 289

(c) 17 : 22

(d) none of these

Solution - 

Let,

In time t cat takes 17 leaps

A rabbit takes 22 leaps for every 17 leaps of cat.

Hence,

In time t rabbit takes 22 leaps

So,

Distance covered by cat in time t = 17 leap of cat

Distance covered by rabbit in time t = 22 leap of rabbit

Hence,

Distance covered by both rabbit and cat is same in time t.

Speed = Distance/Time

Distance and time are same hence speed of cat = speed of dog 

Therefore,

The ratio of speeds of rabbit and cat is 1 : 1.

Hence,

The correct answer is option (a) 1 : 1.

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