A boat running upstream takes 8 hours 48 min 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 the speed of water current respectively?

Boats and Streams 19/07/2023

A. 2 : 1
B. 3 : 1
C. 8 : 3
D. Cannot be determined

Explanation:

Let the speed of boat be x km/hr and speed of stream be ykm/hr.

44/5 × (x -y) = 4x (x +y)

=> 44(x-y) = 20 (x+y)

=>11 (x-y) = 5 (x +y)

=> 6x =16 y

=> x/y = 16/6 = 8/3

=> x : y = 8 : 3

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