SOLUTION: You are traveling down-river in a boat with a still water speed of 2.36 m/s. The river's current is traveling with a speed of 1.22 m/s. After traveling down-river, the captain turn

Question 972277: You are traveling down-river in a boat with a still water speed of 2.36 m/s. The river's current is traveling with a speed of 1.22 m/s. After traveling down-river, the captain turns the boat around and returns to the location where the trip began. The trip took 2 hours and 19 minutes. Determine how many miles the captain traveled before turning around.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The boat's speed downstream is 2.36 +1.22=3.58 all units here m/sec
Upstream is 2.36-1.22=1.14 m/sec
x=time downstream (% of total)
100-x= time upstream (100-x %)
3.58 x= 1.14 (100-x)
3.58 x=114-1.14x
4.72x=114
x=24.15% of time downstream
Now convert units. First is time 139 minutes*0.2415=33.57 minutes spent going downstream
That will mean 105.43 minutes spent going upstream.
Time downstream is 3.58 m/sec*60 sec/min=214.8 m/min
Multiply that by number of minutes and we get 7210.8 m or 7.21 km
Upstream is 1.14 m/sec*60 sec/min = 68.4 m/min
Multiply that by 105.43 minutes and we get 7211.4 m or 7.21 km. The difference is rounding error.

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