Let the distance covered in 1 leap of the dog be x and that covered in 1 leap of the hare by y.
Then , 3x = 4y
x = 4y/3
4x = 16y/3
Ratio of speeds of dog and hare = Ratio of distances covered by them in the same time
= 4x : 5y = 16/3 y : 5y =16/3 : 5 = 16:15