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

A cat takes 5 leaps for every 4 leaps of a dog but 3 leaps of the dog were equal to 4 leaps of the cat. What is the ratio of speeds of the cat to that of the dog? Correct Answer 15 : 16

Given:

4 leaps of cat = 3 leaps of dog

Calculation:

1 leap of cat = 3/4 leaps of dog

Ratio of speeds of cat to dog = 5 leaps of cat : 4 × leaps of dog

= 5 × 3/4 leaps of dog : 4 leaps of dog

= 15 : 16

∴ Ratio of speeds of cat to that of dog = 15 : 16

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