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 with explanationAnswer: Option C
Let the speed of the boat be x kmph and speed of the water current be y kmph.
So, boat’s rate in upstream = x – y
And boat’s rate in downstream = x + y
Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.
Or, (x – y) * (44/5) = (x + y) * 4
Or, 44x – 44y = 20x + 20y
Or, 24x = 64y
Or, x/y = 64/24 = 8/3
Or, x : y = 8 : 3