A boat running upstream takes 8 hours 48 minutes to cover a certain distance, wh

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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?
Options
A. 7:4
B. 11:4
C. 4:7
D. 8:3

Correct Answer

8:3

Explanation

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