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: Option C

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.
$$\begin{array}{rl}& \Rightarrow x\times 8\frac{4}{5}=y\times 4\\ & \Rightarrow \frac{44}{5}x=4y\\ & \Rightarrow y=\frac{11}{5}x\\ & \therefore \text{Required}\text{ratio}\\ & =\frac{y+x}{2}:\frac{y-x}{2}\\ & =\left(\frac{16x}{5}\times \frac{1}{2}\right):\left(\frac{6x}{5}\times \frac{1}{2}\right)\\ & =\frac{8}{5}:\frac{3}{5}\\ & =8:3\end{array}$$