The yacht covered the distance from point A to point B in 3 hours 20 minutes, and the distance from point B

The yacht covered the distance from point A to point B in 3 hours 20 minutes, and the distance from point B to point A in 2 hours 50 minutes. In which direction does the river flow from A to B or from B to A, if it is known that the yacht’s speed has not changed.

Distance, speed and time are related as follows:
S = V ∙ t.
Since the distance between points A and B does not change, S (AB) = S (VA) and, accordingly, V (AB) ∙ t (AB) = V (VA) ∙ t (VA).
V (AB) ∙ 3 h 20 min = V (VA) ∙ 2 h 50 min.
In the obtained equality, V is the speed of the yacht along the river.
From the equation, we can conclude that V (AB) <V (VA).
The speed of movement of the yacht along the river consists of the yacht’s own speed V (i) and the speed of the river V (p).
If the boat is sailing with the current V = V (i) + V (p). If against V = V (i) – V (p). Accordingly, the speed of movement upstream is less than downstream.
We get that the river flows from A to B.



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