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?

Let the speed of the boat upstream be p kmph and that of downstream be q kmph

Time for upstream = 8 hrs 48 min =  $8\frac{4}{5}$hrs

Time for downstream = 4 hrs

Distance in both the cases is same.

=> p x   $8\frac{4}{5}$= q x 4

=> 44p/5 = 4q

=> q = 11p/5

 Now, the required ratio of Speed of boat : Speed of water current

=  $\frac{q+p}{2}:\frac{q-p}{2}$

=> (11p/5 + p)/2  : (11p/5 - p)/2

=> 8 : 3