Question

A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?

Answer 1

 the ratio between the speed of the boat and speed of the water current  is 8 : 3

BECAUSE

Let the man's rate upstream be x kmph and that downstream be y kmph.

Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.

x x 8 4/5= (y x 4)

44/5x =4y

 y =11/5x.

 Required ratio =y + x/2:y - x/2

   =16x/5 x 1/2 : 6x/5 x 1/2

   =8/5:3/5

   = 8 : 3.