A Jackal takes 4 leaps for every 5 leaps of goat but 3 leaps of a Jackal are equal to 4 leaps of the...........

Quant (SSC) Time & distance

A Jackal takes 4 leaps for every 5 leaps of goat but 3 leaps of a Jackal are equal to 4 leaps of the goat. compare their speeds

12 : 10

7 : 5

1 : 4

16 : 15

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Explanation:

Let the distance covered in 1 leap of the jackal be x and that covered in 1 leap of the goat be y.
Then, 3x = 4y
⇒ x = 4/3y
⇒ 4x = 16/3y
So, Ratio speed of jackal and goat = Ratio of distances covered by them in the same time,
⇒ 4x : 5y = 16/3y : 5y
⇒ 16/3 : 5 = 16 : 15