A cat takes 5 leaps for every 4 leaps of a a dog but 3 leaps of the dog are equal to 4 leaps of the cat. What is the ratio of the speeds of the cat to that of the dog?

11 : 15
15 : 11
16 : 15
15 : 16

Correct Answer: 15 : 16

Explanation:

4 leaps of cat = 3 leaps of dog
⇒ 1 leap of cat = 3/4 leap dog
Cat takes 5 leaps for every 4 leaps of dog
∴ Required ratio = (5 x Cat's leap ) : ( 4 x Dog's leap)
= (5 x 3/4 dog's leap) : (4 x Dog's leap)
= 15 : 16

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