SOLUTION: A boat takes 2 hours to go 4 miles upstream. It can go 8 miles downstream in the same time. Find the rate of the current and the rate of the boat in still water.​ (Hint: Beca

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A boat takes 2 hours to go 4 miles upstream. It can go 8 miles downstream in the same time. Find the rate of the current and the rate of the boat in still water.​ (Hint: Beca      Log On

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Question 1040176: A boat takes 2 hours to go 4 miles upstream. It can go 8 miles downstream in the same time. Find the rate of the current and the rate of the boat in still water.​ (Hint: Because the current pushes the boat when it is going​ downstream, the rate of the boat downstream is the sum of the rate of the boat and the rate of the current. The current slows down the boat when it is going​ upstream, so the rate of the boat upstream is the difference of the rate of the boat and the rate of the​ current.)
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.
A boat takes 2 hours to go 4 miles upstream. It can go 8 miles downstream in the same time.
Find the rate of the current and the rate of the boat in still water.​
(Hint: Because the current pushes the boat when it is going​
downstream, the rate of the boat downstream is the sum of the rate of the boat and the rate of the current.
The current slows down the boat when it is going​ upstream, so the rate of the boat upstream is the difference
of the rate of the boat and the rate of the​ current.)
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See the lesson Selected problems from the archive on the boat floating Upstream and Downstream, Problem 3 in this site.

Consider it as a sample. Read it attentively.

Then solve your problem by substituting your data.



Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
                 RATE       TIME        DISTANCE
UPSTREAM                     2            4
DOWNSTR                      2            8


                 RATE       TIME        DISTANCE
UPSTREAM         r-c         2            4
DOWNSTR          r+c         2            8

system%28%28r-c%29%2A2=4%2C%28r%2Bc%29%2A2=8%29