# How to find the travel time in still water if the travel time is known upstream (8 h) and upstream (12 h)?

How to find the travel time in still water if the travel time is known upstream (8 h) and upstream (12 h)? Distance and speed are the same.

Distances, proper speed are the same and the ratio is true:

(V + V1) * t1 = (V – V1) * t2 = V * t, where V is the proper velocity, V1 is the current velocity, t1 is the time of movement downstream (t = 8 h), t2 is the time of movement against the current (t = 12 h), t – time of movement in stagnant water.

(V + V1) * 8 = (V – V1) * 12.

8V + 8V1 = 12V – 12V1.

12V – 8V = 12V1 + 8V1

4V = 20V1.

V = 5V1 or V1 = 0.2V.

(V + V1) * t1 = V * t.

(V + 0.2V) * 8 = V * t.

9.6V = V * t.

t = 9.6 h or 9 h 36 min.

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