SOLUTION: Using 5 step method solve A sailboat travels 20 miles downstream in 3 hours. It returns in 4 hours. Find the speed of the sailboat in still water and rate of the current

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Question 201823This question is from textbook Algebra Structure and Method
: Using 5 step method solve
A sailboat travels 20 miles downstream in 3 hours. It returns in 4 hours. Find the speed of the sailboat in still water and rate of the current
This question is from textbook Algebra Structure and Method

Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
make the boat =x
make the water =y
against flow 4(x-y)=20
with flow 3(x+y)=20
distance is equal so the two equations are equal
4(x-y)=3(x+y)
4x-4y=3x+3y
x=7y
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substitute 7y for x in equation
4(7y-y)=20
28y-4y=20
24y=20
y=.83 mph speed of water
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speed of boat=7y=7(.83)=5.81 mph