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Barry owns a house on a river. The river flows at 3 miles per hour. Barry decides to start rowing downstream, with the current, at noon. He wants to return to his house at 5 p.m. At what time should Barry turn around and row home if he normally rows 5 miles per hour in water that has no current?

 Oct 29, 2022
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5 mph  +  3 mph =8 mph - his rowing speed downstream

5 mph  -   3 mph =2 mph - his rowing speed upstream

 

D = Distance

 

D / 8  +  D / 2 ==5 hours, solve for D

D = 8 miles - distance he rowed one way

 

8 / 8 = 1 hour it took him to row downstream - which was 1:00 pm

8 / 2 = 4 hours it took him to row upstream and arrive home at 5:00 pm

 Oct 29, 2022

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