Question { SSC, 68515 }

a dog takes 4 leaps for every 5 leaps of a hare but 3
leaps of a dog are equal to 4 leaps of the hare .compare
their speeds(.......... please give explanation....)

Answer

Ans is 16:15.
Given that 3 Leap of dog=4 Leap of hare (means they travel same distance)

3 Ld = 4 Lh


Initially they said that 4 leaps of dog are equal to 5 leaps of hare.
so, speed of Dog=(Distance of dog 4Ld)/time.
similarily,speed of hare = (distance of hare 5Lh)/time.

now compare speeds

Sd/Sh=[4Ld/t] / [5Lh/t]

we get Sd/Sh=4Ld/5Lh
where,Ld/Lh=4/3

Sd/Sh=16/15