SOLUTION: A woman rows a boat upstream from one point on a river to another point 8km away in 1 hour. The return trip with the current takes only 40 minutes. How fast would she be rowing

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Question 858477: A woman rows a boat upstream from one point on a river to another point 8km away in 1
hour. The return trip with the current takes only 40 minutes. How fast would she be
rowing if she were rowing in still water (as if there is no current), and what speed is the
current flowing?

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


hence

If is the rate in still water and is the rate of the current, then the rate of the boat relative to the shoreline for the upstream trip would be whereas the rate of the boat relative to the shoreline for the downstream trip would be . Then, using , the upstream trip could be described as:

kmph.

While the downstream trip could be described as:

kmph.

Solve the system of equations for and

John

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